Distributions, Partial Differential Equations, and Harmonic Analysis [[electronic resource] /] / by Dorina Mitrea |
Autore | Mitrea Dorina |
Edizione | [2nd ed. 2018.] |
Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2018 |
Descrizione fisica | 1 online resource (XXIII, 600 p. 1 illus.) |
Disciplina | 515.782 |
Collana | Universitext |
Soggetto topico |
Partial differential equations
Functional analysis Fourier analysis Potential theory (Mathematics) Partial Differential Equations Functional Analysis Fourier Analysis Potential Theory |
ISBN | 3-030-03296-5 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Introduction -- Summary of Topological and Functional Analysis Results -- Weak Derivatives -- The Space D0() of Distributions -- The Fourier Transform -- The Space of Tempered Distributions -- Fundamental Solution -- The Laplace Operator -- The Heat Operator -- The Wave Operator -- The Lame Operator -- Fundamental Solutions for Other Operators -- Hypoelliptic operators -- Sobolev spaces -- Appendix -- References. . |
Record Nr. | UNINA-9910303447003321 |
Mitrea Dorina
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Cham : , : Springer International Publishing : , : Imprint : Springer, , 2018 | ||
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Lo trovi qui: Univ. Federico II | ||
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Distributions, Partial Differential Equations, and Harmonic Analysis [[electronic resource] /] / by Dorina Mitrea |
Autore | Mitrea Dorina |
Edizione | [1st ed. 2013.] |
Pubbl/distr/stampa | New York, NY : , : Springer New York : , : Imprint : Springer, , 2013 |
Descrizione fisica | 1 online resource (475 p.) |
Disciplina | 515.353 |
Collana | Universitext |
Soggetto topico |
Partial differential equations
Functional analysis Fourier analysis Potential theory (Mathematics) Partial Differential Equations Functional Analysis Fourier Analysis Potential Theory |
ISBN | 1-4614-8208-9 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Introduction -- Summary of Topological and Functional Analysis Results -- Weak Derivatives -- The Space D0() of Distributions -- The Fourier Transform -- The Space of Tempered Distributions -- Fundamental Solution -- The Laplace Operator -- The Heat Operator -- The Wave Operator -- The Lame Operator -- Fundamental Solutions for Other Operators -- Hypoelliptic operators -- Sobolev spaces -- Appendix -- References. . |
Record Nr. | UNINA-9910438036303321 |
Mitrea Dorina
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New York, NY : , : Springer New York : , : Imprint : Springer, , 2013 | ||
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Lo trovi qui: Univ. Federico II | ||
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Geometric harmonic analysis II : function spaces measuring size and smoothness on rough sets / / Dorina Mitrea, Irina Mitrea, and Marius Mitrea |
Autore | Mitrea Dorina |
Edizione | [1st ed. 2022.] |
Pubbl/distr/stampa | Cham, Switzerland : , : Springer Nature Switzerland AG, , [2022] |
Descrizione fisica | 1 online resource (938 pages) |
Disciplina | 780 |
Collana | Developments in Mathematics |
Soggetto topico |
Mathematics
Anàlisi harmònica |
Soggetto genere / forma | Llibres electrònics |
ISBN | 3-031-13718-3 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | 1 Preliminary Functional Analytic Matters -- 2 Abstract Fredholm Theory -- 3 Functions of Vanishing Mean Oscillations and Vanishing Hölder Moduli -- 4 Hardy Spaces on Ahlfors Regular Sets -- 5 Banach Function Spaces, Extrapolation, and Orlicz Spaces -- 6 Morrey-Campanato Spaces, Morrey Spaces, and Their Pre-Duals on Ahlfors Regular Sets -- 7 Besov and Triebel-Lizorkin Spaces on Ahlfors Regular Sets -- 8 Boundary Traces from Weighted Sobolev Spaces into Besov Spaces -- 9 Besov and Triebel-Lizorkin Spaces in Open Sets -- 10 Strong and Weak Normal Boundary Traces of Vector Fields in Hardy and Morrey Spaces -- 11 Sobolev Spaces on the Geometric Measure Theoretic Boundary of Sets of Locally Finite Perimeter -- A. Terms and Notation Used in Volume II. References -- Index. |
Record Nr. | UNINA-9910678241703321 |
Mitrea Dorina
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Cham, Switzerland : , : Springer Nature Switzerland AG, , [2022] | ||
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Lo trovi qui: Univ. Federico II | ||
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Geometric harmonic analysis II : function spaces measuring size and smoothness on rough sets / / Dorina Mitrea, Irina Mitrea, and Marius Mitrea |
Autore | Mitrea Dorina |
Edizione | [1st ed. 2022.] |
Pubbl/distr/stampa | Cham, Switzerland : , : Springer Nature Switzerland AG, , [2022] |
Descrizione fisica | 1 online resource (938 pages) |
Disciplina | 780 |
Collana | Developments in Mathematics |
Soggetto topico |
Mathematics
Anàlisi harmònica |
Soggetto genere / forma | Llibres electrònics |
ISBN | 3-031-13718-3 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | 1 Preliminary Functional Analytic Matters -- 2 Abstract Fredholm Theory -- 3 Functions of Vanishing Mean Oscillations and Vanishing Hölder Moduli -- 4 Hardy Spaces on Ahlfors Regular Sets -- 5 Banach Function Spaces, Extrapolation, and Orlicz Spaces -- 6 Morrey-Campanato Spaces, Morrey Spaces, and Their Pre-Duals on Ahlfors Regular Sets -- 7 Besov and Triebel-Lizorkin Spaces on Ahlfors Regular Sets -- 8 Boundary Traces from Weighted Sobolev Spaces into Besov Spaces -- 9 Besov and Triebel-Lizorkin Spaces in Open Sets -- 10 Strong and Weak Normal Boundary Traces of Vector Fields in Hardy and Morrey Spaces -- 11 Sobolev Spaces on the Geometric Measure Theoretic Boundary of Sets of Locally Finite Perimeter -- A. Terms and Notation Used in Volume II. References -- Index. |
Record Nr. | UNISA-996518465003316 |
Mitrea Dorina
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Cham, Switzerland : , : Springer Nature Switzerland AG, , [2022] | ||
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Lo trovi qui: Univ. di Salerno | ||
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Geometric Harmonic Analysis IV [[electronic resource] ] : Boundary Layer Potentials in Uniformly Rectifiable Domains, and Applications to Complex Analysis / / by Dorina Mitrea, Irina Mitrea, Marius Mitrea |
Autore | Mitrea Dorina |
Edizione | [1st ed. 2023.] |
Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2023 |
Descrizione fisica | 1 online resource (1004 pages) |
Disciplina | 515.42 |
Altri autori (Persone) |
MitreaIrina
MitreaMarius |
Collana | Developments in Mathematics |
Soggetto topico |
Mathematical analysis
Integral Transforms and Operational Calculus Teoria de la mesura geomètrica Àlgebra vectorial Capa límit |
Soggetto genere / forma | Llibres electrònics |
ISBN | 3-031-29179-4 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Introduction and Statement of Main Results Concerning the Divergence Theorem -- Examples, Counterexamples, and Additional Perspectives -- Tools from Geometric Measure Theory, Harmonic Analysis, and functional Analysis -- Open Sets with Locally Finite Surface Measures and Boundary Behavior -- Proofs of the Main Results Pertaining to the Divergence Theorem -- Applications to Singular Integrals, Function Spaces, Boundary Problems, and Further Results. |
Record Nr. | UNINA-9910734861203321 |
Mitrea Dorina
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Cham : , : Springer International Publishing : , : Imprint : Springer, , 2023 | ||
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Lo trovi qui: Univ. Federico II | ||
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Geometric harmonic analysis, I : a sharp divergence theorem with nontangential pointwise traces / / Dorina Mitrea, Irina Mitrea, and Marius Mitrea |
Autore | Mitrea Dorina |
Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2022] |
Descrizione fisica | 1 online resource (940 pages) |
Disciplina | 620.00151 |
Collana | Developments in Mathematics |
Soggetto topico |
Divergence theorem
Functional analysis Anàlisi funcional |
Soggetto genere / forma | Llibres electrònics |
ISBN | 3-031-05950-6 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Intro -- Prefacing the Full Series -- Acknowledgements -- Description of Volume I -- Contents -- Compendium of Notation Used in Volume I -- 1 Statement of Main Results Concerning the Divergence Theorem -- 1.1 The De Giorgi-Federer Version of the Divergence Theorem -- 1.2 The Case When the Divergence Is Absolutely Integrable -- 1.3 The Case Without Decay and When the Divergence Is a Measure -- 1.4 The Divergence Theorem for Singular Vector Fields Without Decay -- 1.5 Non-doubling Surface Measures and Maximally Singular Vector Fields -- 1.6 Divergence Formulas Without Lower Ahlfors Regularity -- 1.7 Integration by Parts in Open Sets with Ahlfors Regular Boundaries -- 1.8 Higher-Order Integration by Parts -- 1.9 The Divergence Theorem with Weak Boundary Traces -- 1.10 The Divergence Theorem Involving an Averaged Nontangential Maximal Operator -- 1.11 The Manifold Setting and a Sharp Version of Stokes' Formula -- 1.12 Integrating by Parts on Boundaries of Ahlfors Regular Domains on Manifolds -- 2 Examples, Counterexamples, and Additional Perspectives -- 2.1 Failure of Hypotheses on the Nontangential Boundary Trace -- 2.2 Failure of Hypotheses on Behavior at Infinity -- 2.3 Failure of Hypotheses on the Nontangential Maximal Function -- 2.4 Failure of Hypotheses of Geometric Measure Theoretic Nature -- 2.5 Failure of Hypotheses on the Nature of the Divergence of the Vector Field -- 2.6 Relationship with Classical Results in the One-Dimensional Setting -- 2.7 Examples and Counterexamples Pertaining to Weak Traces -- 2.8 Other Versions of the Gauss-Green Formula -- 3 Measure Theoretical and Topological Rudiments -- 3.1 Sigma-Algebras, Measures, Lebesgue Spaces -- 3.2 The Topology on the Space of Measurable Functions -- 3.3 Outer Measures -- 3.4 Borel-Regular Measure and Outer Measures -- 3.5 Radon Measures -- 3.6 Separable Measures.
3.7 Density Results for Lebesgue Spaces -- 3.8 The Support of a Measure -- 3.9 The Riesz Representation Theorem -- 4 Selected Topics in Distribution Theory -- 4.1 Distribution Theory on Arbitrary Sets -- 4.2 The Bullet Product -- 4.3 The Product Rule for Weak Derivatives -- 4.4 Pointwise Divergence Versus Distributional Divergence -- 4.5 Removability of Singularities for Distributional Derivatives -- 4.6 The Algebraic Dual of the Space of Smooth and Bounded Functions -- 4.7 The Contribution at Infinity of a Vector Field -- 5 Sets of Locally Finite Perimeter and Other Categories of Euclidean Sets -- 5.1 Thick Sets and Corkscrew Conditions -- 5.2 The Geometric Measure Theoretic Boundary -- 5.3 Area/Coarea Formulas, and Countable Rectifiability -- 5.4 Approximate Tangent Planes -- 5.5 Functions of Bounded Variation -- 5.6 Sets of Locally Finite Perimeter -- 5.7 Sets of Finite Perimeter -- 5.8 Planar Curves -- 5.9 Ahlfors Regular Sets -- 5.10 Uniformly Rectifiable Sets -- 5.11 Nontangentially Accessible Domains -- 6 Tools from Harmonic Analysis -- 6.1 The Regularized Distance Function and Whitney's Extension Theorem -- 6.2 Short Foray into Lorentz Spaces -- 6.3 The Fractional Hardy-Littlewood Maximal Operator in a Non-Metric Setting -- 6.4 Clifford Algebra Fundamentals -- 6.5 Subaveraging Functions, Reverse Hölder Estimates, and Interior Estimates -- 6.6 The Solid Maximal Function and Maximal Lebesgue Spaces -- 7 Quasi-Metric Spaces and Spaces of Homogeneous Type -- 7.1 Quasi-Metric Spaces and a Sharp Metrization Result -- 7.2 Estimating Integrals Involving the Quasi-Distance -- 7.3 Hölder Spaces on Quasi-Metric Spaces -- 7.4 Functions of Bounded Mean Oscillations on Spaces of Homogeneous Type -- 7.5 Whitney Decompositions on Geometrically Doubling Quasi-Metric Spaces -- 7.6 The Hardy-Littlewood Maximal Operator on Spaces of Homogeneous Type. 7.7 Muckenhoupt Weights on Spaces of Homogeneous Type -- 7.8 The Fractional Integration Theorem -- 8 Open Sets with Locally Finite Surface Measures and Boundary Behavior -- 8.1 Nontangential Approach Regions in Arbitrary Open Sets -- 8.2 The Definition and Basic Properties of the Nontangential Maximal Operator -- 8.3 Elementary Estimates Involving the Nontangential Maximal Operator -- 8.4 Size Estimates for the Nontangential Maximal Operator Involving a Doubling Measure -- 8.5 Maximal Operators: Tangential Versus Nontangential -- 8.6 Off-Diagonal Carleson Measure Estimates of Reverse Hölder Type -- 8.7 Estimates for Marcinkiewicz Type Integrals and Applications -- 8.8 The Nontangentially Accessible Boundary -- 8.9 The Nontangential Boundary Trace Operator -- 8.10 The Averaged Nontangential Maximal Operator -- 9 Proofs of Main Results Pertaining to Divergence Theorem -- 9.1 Proofs of Theorems 1.2.1 and 1.3.1 and Corollaries 1.2.2, 1.2.4, and 1.3.2 -- 9.2 Proof of Theorem 1.4.1 and Corollaries 1.4.2-1.4.4 -- 9.3 Proofs of Theorem 1.5.1 and Corollary 1.5.2 -- 9.4 Proofs of Theorem 1.6.1 and Corollaries 1.6.2-1.6.6 -- 9.5 Proofs of Theorems 1.7.1, 1.7.2, and 1.7.6 -- 9.6 Proofs of Theorems 1.8.2, 1.8.3, and 1.8.5 -- 9.7 Proofs of Theorems 1.9.1-1.9.4 -- 9.8 Proof of Theorem 1.10.1 -- 9.9 Proofs of Theorems 1.11.3, 1.11.6, and 1.11.8-1.11.11 -- Appendix References -- -- Appendix Subject Index -- Index -- Appendix Symbol Index -- Symbol Index. |
Record Nr. | UNISA-996499872303316 |
Mitrea Dorina
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||
Cham, Switzerland : , : Springer, , [2022] | ||
![]() | ||
Lo trovi qui: Univ. di Salerno | ||
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Geometric harmonic analysis, I : a sharp divergence theorem with nontangential pointwise traces / / Dorina Mitrea, Irina Mitrea, and Marius Mitrea |
Autore | Mitrea Dorina |
Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2022] |
Descrizione fisica | 1 online resource (940 pages) |
Disciplina | 620.00151 |
Collana | Developments in Mathematics |
Soggetto topico |
Divergence theorem
Functional analysis Anàlisi funcional |
Soggetto genere / forma | Llibres electrònics |
ISBN | 3-031-05950-6 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Intro -- Prefacing the Full Series -- Acknowledgements -- Description of Volume I -- Contents -- Compendium of Notation Used in Volume I -- 1 Statement of Main Results Concerning the Divergence Theorem -- 1.1 The De Giorgi-Federer Version of the Divergence Theorem -- 1.2 The Case When the Divergence Is Absolutely Integrable -- 1.3 The Case Without Decay and When the Divergence Is a Measure -- 1.4 The Divergence Theorem for Singular Vector Fields Without Decay -- 1.5 Non-doubling Surface Measures and Maximally Singular Vector Fields -- 1.6 Divergence Formulas Without Lower Ahlfors Regularity -- 1.7 Integration by Parts in Open Sets with Ahlfors Regular Boundaries -- 1.8 Higher-Order Integration by Parts -- 1.9 The Divergence Theorem with Weak Boundary Traces -- 1.10 The Divergence Theorem Involving an Averaged Nontangential Maximal Operator -- 1.11 The Manifold Setting and a Sharp Version of Stokes' Formula -- 1.12 Integrating by Parts on Boundaries of Ahlfors Regular Domains on Manifolds -- 2 Examples, Counterexamples, and Additional Perspectives -- 2.1 Failure of Hypotheses on the Nontangential Boundary Trace -- 2.2 Failure of Hypotheses on Behavior at Infinity -- 2.3 Failure of Hypotheses on the Nontangential Maximal Function -- 2.4 Failure of Hypotheses of Geometric Measure Theoretic Nature -- 2.5 Failure of Hypotheses on the Nature of the Divergence of the Vector Field -- 2.6 Relationship with Classical Results in the One-Dimensional Setting -- 2.7 Examples and Counterexamples Pertaining to Weak Traces -- 2.8 Other Versions of the Gauss-Green Formula -- 3 Measure Theoretical and Topological Rudiments -- 3.1 Sigma-Algebras, Measures, Lebesgue Spaces -- 3.2 The Topology on the Space of Measurable Functions -- 3.3 Outer Measures -- 3.4 Borel-Regular Measure and Outer Measures -- 3.5 Radon Measures -- 3.6 Separable Measures.
3.7 Density Results for Lebesgue Spaces -- 3.8 The Support of a Measure -- 3.9 The Riesz Representation Theorem -- 4 Selected Topics in Distribution Theory -- 4.1 Distribution Theory on Arbitrary Sets -- 4.2 The Bullet Product -- 4.3 The Product Rule for Weak Derivatives -- 4.4 Pointwise Divergence Versus Distributional Divergence -- 4.5 Removability of Singularities for Distributional Derivatives -- 4.6 The Algebraic Dual of the Space of Smooth and Bounded Functions -- 4.7 The Contribution at Infinity of a Vector Field -- 5 Sets of Locally Finite Perimeter and Other Categories of Euclidean Sets -- 5.1 Thick Sets and Corkscrew Conditions -- 5.2 The Geometric Measure Theoretic Boundary -- 5.3 Area/Coarea Formulas, and Countable Rectifiability -- 5.4 Approximate Tangent Planes -- 5.5 Functions of Bounded Variation -- 5.6 Sets of Locally Finite Perimeter -- 5.7 Sets of Finite Perimeter -- 5.8 Planar Curves -- 5.9 Ahlfors Regular Sets -- 5.10 Uniformly Rectifiable Sets -- 5.11 Nontangentially Accessible Domains -- 6 Tools from Harmonic Analysis -- 6.1 The Regularized Distance Function and Whitney's Extension Theorem -- 6.2 Short Foray into Lorentz Spaces -- 6.3 The Fractional Hardy-Littlewood Maximal Operator in a Non-Metric Setting -- 6.4 Clifford Algebra Fundamentals -- 6.5 Subaveraging Functions, Reverse Hölder Estimates, and Interior Estimates -- 6.6 The Solid Maximal Function and Maximal Lebesgue Spaces -- 7 Quasi-Metric Spaces and Spaces of Homogeneous Type -- 7.1 Quasi-Metric Spaces and a Sharp Metrization Result -- 7.2 Estimating Integrals Involving the Quasi-Distance -- 7.3 Hölder Spaces on Quasi-Metric Spaces -- 7.4 Functions of Bounded Mean Oscillations on Spaces of Homogeneous Type -- 7.5 Whitney Decompositions on Geometrically Doubling Quasi-Metric Spaces -- 7.6 The Hardy-Littlewood Maximal Operator on Spaces of Homogeneous Type. 7.7 Muckenhoupt Weights on Spaces of Homogeneous Type -- 7.8 The Fractional Integration Theorem -- 8 Open Sets with Locally Finite Surface Measures and Boundary Behavior -- 8.1 Nontangential Approach Regions in Arbitrary Open Sets -- 8.2 The Definition and Basic Properties of the Nontangential Maximal Operator -- 8.3 Elementary Estimates Involving the Nontangential Maximal Operator -- 8.4 Size Estimates for the Nontangential Maximal Operator Involving a Doubling Measure -- 8.5 Maximal Operators: Tangential Versus Nontangential -- 8.6 Off-Diagonal Carleson Measure Estimates of Reverse Hölder Type -- 8.7 Estimates for Marcinkiewicz Type Integrals and Applications -- 8.8 The Nontangentially Accessible Boundary -- 8.9 The Nontangential Boundary Trace Operator -- 8.10 The Averaged Nontangential Maximal Operator -- 9 Proofs of Main Results Pertaining to Divergence Theorem -- 9.1 Proofs of Theorems 1.2.1 and 1.3.1 and Corollaries 1.2.2, 1.2.4, and 1.3.2 -- 9.2 Proof of Theorem 1.4.1 and Corollaries 1.4.2-1.4.4 -- 9.3 Proofs of Theorem 1.5.1 and Corollary 1.5.2 -- 9.4 Proofs of Theorem 1.6.1 and Corollaries 1.6.2-1.6.6 -- 9.5 Proofs of Theorems 1.7.1, 1.7.2, and 1.7.6 -- 9.6 Proofs of Theorems 1.8.2, 1.8.3, and 1.8.5 -- 9.7 Proofs of Theorems 1.9.1-1.9.4 -- 9.8 Proof of Theorem 1.10.1 -- 9.9 Proofs of Theorems 1.11.3, 1.11.6, and 1.11.8-1.11.11 -- Appendix References -- -- Appendix Subject Index -- Index -- Appendix Symbol Index -- Symbol Index. |
Record Nr. | UNINA-9910629292003321 |
Mitrea Dorina
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Cham, Switzerland : , : Springer, , [2022] | ||
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Lo trovi qui: Univ. Federico II | ||
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Groupoid Metrization Theory [[electronic resource] ] : With Applications to Analysis on Quasi-Metric Spaces and Functional Analysis / / by Dorina Mitrea, Irina Mitrea, Marius Mitrea, Sylvie Monniaux |
Autore | Mitrea Dorina |
Edizione | [1st ed. 2013.] |
Pubbl/distr/stampa | Boston, MA : , : Birkhäuser Boston : , : Imprint : Birkhäuser, , 2013 |
Descrizione fisica | 1 online resource (485 p.) |
Disciplina | 514/.325 |
Collana | Applied and Numerical Harmonic Analysis |
Soggetto topico |
Harmonic analysis
Functional analysis Topology Mathematical analysis Analysis (Mathematics) Measure theory Algebraic geometry Abstract Harmonic Analysis Functional Analysis Analysis Measure and Integration Algebraic Geometry |
ISBN | 0-8176-8397-6 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Introduction -- Semigroupoids and Groupoids -- Quantitative Metrization Theory -- Applications to Analysis on Quasi-Metric Spaces -- Non-Locally Convex Functional Analysis -- Functional Analysis on Quasi-Pseudonormed Groups -- References -- Symbol Index -- Subject Index -- Author Index. |
Record Nr. | UNINA-9910437861603321 |
Mitrea Dorina
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Boston, MA : , : Birkhäuser Boston : , : Imprint : Birkhäuser, , 2013 | ||
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Lo trovi qui: Univ. Federico II | ||
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The Hodge-Laplacian : boundary value problems on Riemannian manifolds / / Dorina Mitrea [and three others] |
Autore | Mitrea Dorina |
Pubbl/distr/stampa | Berlin, [Germany] ; ; Boston, [Massachusetts] : , : De Gruyter, , 2016 |
Descrizione fisica | 1 online resource (528 pages) |
Disciplina | 516.3/73 |
Collana | De Gruyter Studies in Mathematics |
Soggetto topico |
Riemannian manifolds
Boundary value problems |
Soggetto genere / forma | Electronic books. |
ISBN |
3-11-048339-4
3-11-048438-2 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Preface -- Contents -- 1. Introduction and Statement of Main Results -- 2. Geometric Concepts and Tools -- 3. Harmonic Layer Potentials Associated with the Hodge-de Rham Formalism on UR Domains -- 4. Harmonic Layer Potentials Associated with the Levi-Civita Connection on UR Domains -- 5. Dirichlet and Neumann Boundary Value Problems for the Hodge-Laplacian on Regular SKT Domains -- 6. Fatou Theorems and Integral Representations for the Hodge-Laplacian on Regular SKT Domains -- 7. Solvability of Boundary Problems for the Hodge-Laplacian in the Hodge-de Rham Formalism -- 8. Additional Results and Applications -- 9. Further Tools from Differential Geometry, Harmonic Analysis, Geometric Measure Theory, Functional Analysis, Partial Differential Equations, and Clifford Analysis -- Bibliography -- Index -- Backmatter |
Record Nr. | UNINA-9910465984603321 |
Mitrea Dorina
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Berlin, [Germany] ; ; Boston, [Massachusetts] : , : De Gruyter, , 2016 | ||
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Lo trovi qui: Univ. Federico II | ||
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The Hodge-Laplacian : boundary value problems on Riemannian manifolds / / Dorina Mitrea [and three others] |
Autore | Mitrea Dorina |
Pubbl/distr/stampa | Berlin, [Germany] ; ; Boston, [Massachusetts] : , : De Gruyter, , 2016 |
Descrizione fisica | 1 online resource (528 pages) |
Disciplina | 516.3/73 |
Collana | De Gruyter Studies in Mathematics |
Soggetto topico |
Riemannian manifolds
Boundary value problems |
ISBN |
3-11-048339-4
3-11-048438-2 |
Classificazione | SK 540 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Preface -- Contents -- 1. Introduction and Statement of Main Results -- 2. Geometric Concepts and Tools -- 3. Harmonic Layer Potentials Associated with the Hodge-de Rham Formalism on UR Domains -- 4. Harmonic Layer Potentials Associated with the Levi-Civita Connection on UR Domains -- 5. Dirichlet and Neumann Boundary Value Problems for the Hodge-Laplacian on Regular SKT Domains -- 6. Fatou Theorems and Integral Representations for the Hodge-Laplacian on Regular SKT Domains -- 7. Solvability of Boundary Problems for the Hodge-Laplacian in the Hodge-de Rham Formalism -- 8. Additional Results and Applications -- 9. Further Tools from Differential Geometry, Harmonic Analysis, Geometric Measure Theory, Functional Analysis, Partial Differential Equations, and Clifford Analysis -- Bibliography -- Index -- Backmatter |
Record Nr. | UNINA-9910798732003321 |
Mitrea Dorina
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Berlin, [Germany] ; ; Boston, [Massachusetts] : , : De Gruyter, , 2016 | ||
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Lo trovi qui: Univ. Federico II | ||
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