Info
- Utilizzare la checkbox di selezione a fianco di ciascun documento per attivare le funzionalità di stampa, invio email, download nei formati disponibili del (i) record.
Arithmetic differential operators over the p-adic integers / / Claire C. Ralph, Santiago R. Simanca [[electronic resource]]
| Arithmetic differential operators over the p-adic integers / / Claire C. Ralph, Santiago R. Simanca [[electronic resource]] |
| Autore | Ralph Claire C. |
| Pubbl/distr/stampa | Cambridge : , : Cambridge University Press, , 2012 |
| Descrizione fisica | 1 online resource (vi, 139 pages) : digital, PDF file(s) |
| Disciplina | 515.7242 |
| Collana | London Mathematical Society lecture note series |
| Soggetto topico |
Differential operators
Arithmetic functions p-adic numbers |
| ISBN |
1-139-88774-2
1-139-08466-6 1-107-08994-8 1-107-10182-4 1-107-09621-9 1-107-10420-3 1-107-09312-0 |
| Classificazione |
MAT 123f
SI 320 SK 540 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | The p-adic numbers Qp -- Some classical analysis on Qp -- The Artin-Hasse exponential function -- The completion of the algebraic closure of Qp -- Zeta functions -- Analytic functions on Zp -- Arithmetic differential operators on Zp -- A general view of arithmetic differential operators -- Analyticity of arithmetic differential operators -- Characteristic functions of discs in Zp: p-adic coordinates -- Characteristic functions of discs in Zp: harmonic coordinates -- Some differences between (Se(B-operators over Zp and Zur p. |
| Record Nr. | UNINA-9910779885203321 |
Ralph Claire C.
|
||
| Cambridge : , : Cambridge University Press, , 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Arithmetic differential operators over the p-adic integers / / Claire C. Ralph, Santiago R. Simanca [[electronic resource]]
| Arithmetic differential operators over the p-adic integers / / Claire C. Ralph, Santiago R. Simanca [[electronic resource]] |
| Autore | Ralph Claire C. |
| Pubbl/distr/stampa | Cambridge : , : Cambridge University Press, , 2012 |
| Descrizione fisica | 1 online resource (vi, 139 pages) : digital, PDF file(s) |
| Disciplina | 515.7242 |
| Collana | London Mathematical Society lecture note series |
| Soggetto topico |
Differential operators
Arithmetic functions p-adic numbers |
| ISBN |
1-139-88774-2
1-139-08466-6 1-107-08994-8 1-107-10182-4 1-107-09621-9 1-107-10420-3 1-107-09312-0 |
| Classificazione |
MAT 123f
SI 320 SK 540 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | The p-adic numbers Qp -- Some classical analysis on Qp -- The Artin-Hasse exponential function -- The completion of the algebraic closure of Qp -- Zeta functions -- Analytic functions on Zp -- Arithmetic differential operators on Zp -- A general view of arithmetic differential operators -- Analyticity of arithmetic differential operators -- Characteristic functions of discs in Zp: p-adic coordinates -- Characteristic functions of discs in Zp: harmonic coordinates -- Some differences between (Se(B-operators over Zp and Zur p. |
| Record Nr. | UNINA-9910810153203321 |
|
Ralph Claire C.
|
||
| Cambridge : , : Cambridge University Press, , 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Beginning partial differential equations [[electronic resource] /] / Peter V. O'Neil
| Beginning partial differential equations [[electronic resource] /] / Peter V. O'Neil |
| Autore | O'Neil Peter V |
| Edizione | [2nd ed.] |
| Pubbl/distr/stampa | Hoboken, N.J., : Wiley-Interscience, c2008 |
| Descrizione fisica | 1 online resource (493 p.) |
| Disciplina |
515.353
515/.353 |
| Collana | Pure and applied mathematics |
| Soggetto topico |
Differential equations, Partial
Equations |
| ISBN |
1-283-30616-6
9786613306166 1-118-03235-7 1-118-03060-5 |
| Classificazione |
31.44
SK 540 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Beginning Partial Differential Equations; Contents; 1 First-Order Equations; 1.1 Notation and Terminology; 1.2 The Linear First-Order Equation; 1.3 The Significance of Characteristics; 1.4 The Quasi-Linear Equation; 2 Linear Second-Order Equations; 2.1 Classification; 2.2 The Hyperbolic Canonical Form; 2.3 The Parabolic Canonical Form; 2.4 The Elliptic Canonical Form; 2.5 Some Equations of Mathematical Physics; 2.6 The Second-Order Cauchy Problem; 2.7 Characteristics and the Cauchy Problem; 2.8 Characteristics as Carriers of Discontinuities; 3 Elements of Fourier Analysis
3.1 Why Fourier Series?3.2 The Fourier Series of a Function; 3.3 Convergence of Fourier Series; 3.4 Sine and Cosine Expansions; 3.5 The Fourier Integral; 3.6 The Fourier Transform; 3.7 Convolution; 3.8 Fourier Sine and Cosine Transforms; 4 The Wave Equation; 4.1 d'PAlembert Solution of the Cauchy Problem; 4.2 d'TAlembert's Solution as a Sum of Waves; 4.3 The Characteristic Triangle; 4.4 The Wave Equation on a Half-Line; 4.5 A Half-Line with Moving End; 4.6 A Nonhomogeneous Problem on the Real Line; 4.7 A General Problem on a Closed Interval; 4.8 Fourier Series Solutions on a Closed Interval 4.9 A Nonhomogeneous Problem on a Closed Interval4.10 The Cauchy Problem by Fourier Integral; 4.11 A Wave Equation in Two Space Dimensions; 4.12 The Kirchhoff-Poisson Solution; 4.13 Hadamard's Method of Descent; 5 The Heat Equation; 5.1 The Cauchy Problem and Initial Conditions; 5.2 The Weak Maximum Principle; 5.3 Solutions on Bounded Intervals; 5.4 The Heat Equation on the Real Line; 5.5 The Heat Equation on the Half-Line; 5.6 The Debate Over the Age of the Earth; 5.7 The Nonhomogeneous Heat Equation; 5.8 The Heat Equation in Two Space Variables; 6 Dirichlet and Neumann Problems 6.1 The Setting of the Problems6.2 Some Harmonic Functions; 6.3 Representation Theorems; 6.4 Two Properties of Harmonic Functions; 6.5 Is the Dirichlet Problem Well Posed?; 6.6 Dirichlet Problem for a Rectangle; 6.7 Dirichlet Problem for a Disk; 6.8 Poisson's Integral Representation for a Disk; 6.9 Dirichlet Problem for the Upper Half-Plane; 6.10 Dirichlet Problem for the Right Quarter-Plane; 6.11 Dirichlet Problem for a Rectangular Box; 6.12 The Neumann Problem; 6.13 Neumann Problem for a Rectangle; 6.14 Neumann Problem for a Disk; 6.15 Neumann Problem for the Upper Half-Plane 6.16 Green's Function for a Dirichlet Problem6.17 Conformal Mapping Techniques; 6.17.1 Conformal Mappings; 6.17.2 Bilinear Transformations; 6.17.3 Construction of Conformal Mappings between Domains; 6.17.4 An Integral Solution of the Dirichlet Problem for a Disk; 6.17.5 Solution of Dirichlet Problems by Conformal Mapping; 7 Existence Theorems; 7.1 A Classical Existence Theorem; 7.2 A Hilbert Space Approach; 7.3 Distributions and an Existence Theorem; 8 Additional Topics; 8.1 Solutions by Eigenfunction Expansions; 8.2 Numerical Approximations of Solutions; 8.3 Burger's Equation 8.4 The Telegraph Equation |
| Record Nr. | UNINA-9910139582703321 |
|
O'Neil Peter V
|
||
| Hoboken, N.J., : Wiley-Interscience, c2008 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Beginning partial differential equations [[electronic resource] /] / Peter V. O'Neil
| Beginning partial differential equations [[electronic resource] /] / Peter V. O'Neil |
| Autore | O'Neil Peter V |
| Edizione | [2nd ed.] |
| Pubbl/distr/stampa | Hoboken, N.J., : Wiley-Interscience, c2008 |
| Descrizione fisica | 1 online resource (493 p.) |
| Disciplina |
515.353
515/.353 |
| Collana | Pure and applied mathematics |
| Soggetto topico |
Differential equations, Partial
Equations |
| ISBN |
1-283-30616-6
9786613306166 1-118-03235-7 1-118-03060-5 |
| Classificazione |
31.44
SK 540 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Beginning Partial Differential Equations; Contents; 1 First-Order Equations; 1.1 Notation and Terminology; 1.2 The Linear First-Order Equation; 1.3 The Significance of Characteristics; 1.4 The Quasi-Linear Equation; 2 Linear Second-Order Equations; 2.1 Classification; 2.2 The Hyperbolic Canonical Form; 2.3 The Parabolic Canonical Form; 2.4 The Elliptic Canonical Form; 2.5 Some Equations of Mathematical Physics; 2.6 The Second-Order Cauchy Problem; 2.7 Characteristics and the Cauchy Problem; 2.8 Characteristics as Carriers of Discontinuities; 3 Elements of Fourier Analysis
3.1 Why Fourier Series?3.2 The Fourier Series of a Function; 3.3 Convergence of Fourier Series; 3.4 Sine and Cosine Expansions; 3.5 The Fourier Integral; 3.6 The Fourier Transform; 3.7 Convolution; 3.8 Fourier Sine and Cosine Transforms; 4 The Wave Equation; 4.1 d'PAlembert Solution of the Cauchy Problem; 4.2 d'TAlembert's Solution as a Sum of Waves; 4.3 The Characteristic Triangle; 4.4 The Wave Equation on a Half-Line; 4.5 A Half-Line with Moving End; 4.6 A Nonhomogeneous Problem on the Real Line; 4.7 A General Problem on a Closed Interval; 4.8 Fourier Series Solutions on a Closed Interval 4.9 A Nonhomogeneous Problem on a Closed Interval4.10 The Cauchy Problem by Fourier Integral; 4.11 A Wave Equation in Two Space Dimensions; 4.12 The Kirchhoff-Poisson Solution; 4.13 Hadamard's Method of Descent; 5 The Heat Equation; 5.1 The Cauchy Problem and Initial Conditions; 5.2 The Weak Maximum Principle; 5.3 Solutions on Bounded Intervals; 5.4 The Heat Equation on the Real Line; 5.5 The Heat Equation on the Half-Line; 5.6 The Debate Over the Age of the Earth; 5.7 The Nonhomogeneous Heat Equation; 5.8 The Heat Equation in Two Space Variables; 6 Dirichlet and Neumann Problems 6.1 The Setting of the Problems6.2 Some Harmonic Functions; 6.3 Representation Theorems; 6.4 Two Properties of Harmonic Functions; 6.5 Is the Dirichlet Problem Well Posed?; 6.6 Dirichlet Problem for a Rectangle; 6.7 Dirichlet Problem for a Disk; 6.8 Poisson's Integral Representation for a Disk; 6.9 Dirichlet Problem for the Upper Half-Plane; 6.10 Dirichlet Problem for the Right Quarter-Plane; 6.11 Dirichlet Problem for a Rectangular Box; 6.12 The Neumann Problem; 6.13 Neumann Problem for a Rectangle; 6.14 Neumann Problem for a Disk; 6.15 Neumann Problem for the Upper Half-Plane 6.16 Green's Function for a Dirichlet Problem6.17 Conformal Mapping Techniques; 6.17.1 Conformal Mappings; 6.17.2 Bilinear Transformations; 6.17.3 Construction of Conformal Mappings between Domains; 6.17.4 An Integral Solution of the Dirichlet Problem for a Disk; 6.17.5 Solution of Dirichlet Problems by Conformal Mapping; 7 Existence Theorems; 7.1 A Classical Existence Theorem; 7.2 A Hilbert Space Approach; 7.3 Distributions and an Existence Theorem; 8 Additional Topics; 8.1 Solutions by Eigenfunction Expansions; 8.2 Numerical Approximations of Solutions; 8.3 Burger's Equation 8.4 The Telegraph Equation |
| Record Nr. | UNINA-9910830524503321 |
|
O'Neil Peter V
|
||
| Hoboken, N.J., : Wiley-Interscience, c2008 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Beginning partial differential equations [[electronic resource] /] / Peter V. O'Neil
| Beginning partial differential equations [[electronic resource] /] / Peter V. O'Neil |
| Autore | O'Neil Peter V |
| Edizione | [2nd ed.] |
| Pubbl/distr/stampa | Hoboken, N.J., : Wiley-Interscience, c2008 |
| Descrizione fisica | 1 online resource (493 p.) |
| Disciplina |
515.353
515/.353 |
| Collana | Pure and applied mathematics |
| Soggetto topico |
Differential equations, Partial
Equations |
| ISBN |
1-283-30616-6
9786613306166 1-118-03235-7 1-118-03060-5 |
| Classificazione |
31.44
SK 540 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Beginning Partial Differential Equations; Contents; 1 First-Order Equations; 1.1 Notation and Terminology; 1.2 The Linear First-Order Equation; 1.3 The Significance of Characteristics; 1.4 The Quasi-Linear Equation; 2 Linear Second-Order Equations; 2.1 Classification; 2.2 The Hyperbolic Canonical Form; 2.3 The Parabolic Canonical Form; 2.4 The Elliptic Canonical Form; 2.5 Some Equations of Mathematical Physics; 2.6 The Second-Order Cauchy Problem; 2.7 Characteristics and the Cauchy Problem; 2.8 Characteristics as Carriers of Discontinuities; 3 Elements of Fourier Analysis
3.1 Why Fourier Series?3.2 The Fourier Series of a Function; 3.3 Convergence of Fourier Series; 3.4 Sine and Cosine Expansions; 3.5 The Fourier Integral; 3.6 The Fourier Transform; 3.7 Convolution; 3.8 Fourier Sine and Cosine Transforms; 4 The Wave Equation; 4.1 d'PAlembert Solution of the Cauchy Problem; 4.2 d'TAlembert's Solution as a Sum of Waves; 4.3 The Characteristic Triangle; 4.4 The Wave Equation on a Half-Line; 4.5 A Half-Line with Moving End; 4.6 A Nonhomogeneous Problem on the Real Line; 4.7 A General Problem on a Closed Interval; 4.8 Fourier Series Solutions on a Closed Interval 4.9 A Nonhomogeneous Problem on a Closed Interval4.10 The Cauchy Problem by Fourier Integral; 4.11 A Wave Equation in Two Space Dimensions; 4.12 The Kirchhoff-Poisson Solution; 4.13 Hadamard's Method of Descent; 5 The Heat Equation; 5.1 The Cauchy Problem and Initial Conditions; 5.2 The Weak Maximum Principle; 5.3 Solutions on Bounded Intervals; 5.4 The Heat Equation on the Real Line; 5.5 The Heat Equation on the Half-Line; 5.6 The Debate Over the Age of the Earth; 5.7 The Nonhomogeneous Heat Equation; 5.8 The Heat Equation in Two Space Variables; 6 Dirichlet and Neumann Problems 6.1 The Setting of the Problems6.2 Some Harmonic Functions; 6.3 Representation Theorems; 6.4 Two Properties of Harmonic Functions; 6.5 Is the Dirichlet Problem Well Posed?; 6.6 Dirichlet Problem for a Rectangle; 6.7 Dirichlet Problem for a Disk; 6.8 Poisson's Integral Representation for a Disk; 6.9 Dirichlet Problem for the Upper Half-Plane; 6.10 Dirichlet Problem for the Right Quarter-Plane; 6.11 Dirichlet Problem for a Rectangular Box; 6.12 The Neumann Problem; 6.13 Neumann Problem for a Rectangle; 6.14 Neumann Problem for a Disk; 6.15 Neumann Problem for the Upper Half-Plane 6.16 Green's Function for a Dirichlet Problem6.17 Conformal Mapping Techniques; 6.17.1 Conformal Mappings; 6.17.2 Bilinear Transformations; 6.17.3 Construction of Conformal Mappings between Domains; 6.17.4 An Integral Solution of the Dirichlet Problem for a Disk; 6.17.5 Solution of Dirichlet Problems by Conformal Mapping; 7 Existence Theorems; 7.1 A Classical Existence Theorem; 7.2 A Hilbert Space Approach; 7.3 Distributions and an Existence Theorem; 8 Additional Topics; 8.1 Solutions by Eigenfunction Expansions; 8.2 Numerical Approximations of Solutions; 8.3 Burger's Equation 8.4 The Telegraph Equation |
| Record Nr. | UNINA-9910877699103321 |
|
O'Neil Peter V
|
||
| Hoboken, N.J., : Wiley-Interscience, c2008 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Blow-up in nonlinear Sobolev type equations [[electronic resource] /] / Alexander B. Alʹshin, Maxim O. Korpusov, Alexey G. Sveshnikov
| Blow-up in nonlinear Sobolev type equations [[electronic resource] /] / Alexander B. Alʹshin, Maxim O. Korpusov, Alexey G. Sveshnikov |
| Autore | Alʹshin A. B |
| Pubbl/distr/stampa | Berlin ; ; New York, : De Gruyter, c2011 |
| Descrizione fisica | 1 online resource (660 p.) |
| Disciplina | 515/.782 |
| Altri autori (Persone) |
KorpusovM. O
SveshnikovA. G <1924-> (Alekseĭ Georgievich) |
| Collana | De Gruyter series in nonlinear analysis and applications |
| Soggetto topico |
Initial value problems - Numerical solutions
Nonlinear difference equations Mathematical physics |
| Soggetto non controllato |
Blow up
Cauchy problem Nonlinear equations Sobolev |
| ISBN |
1-283-16682-8
9786613166821 3-11-025529-4 |
| Classificazione | SK 540 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Preface -- Contents -- Chapter 0 Introduction -- Chapter 1 Nonlinear model equations of Sobolev type -- Chapter 2 Blow-up of solutions of nonlinear equations of Sobolev type -- Chapter 3 Blow-up of solutions of strongly nonlinear Sobolev-type wave equations and equations with linear dissipation -- Chapter 4 Blow-up of solutions of strongly nonlinear, dissipative wave Sobolev-type equations with sources -- Chapter 5 Special problems for nonlinear equations of Sobolev type -- Chapter 6 Numerical methods of solution of initial-boundary-value problems for Sobolev-type equations -- Appendix A Some facts of functional analysis -- Appendix B To Chapter 6 -- Bibliography -- Index |
| Record Nr. | UNINA-9910781797803321 |
|
Alʹshin A. B
|
||
| Berlin ; ; New York, : De Gruyter, c2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Contact geometry and linear differential equations [[electronic resource] /] / by Vladimir E. Nazaikinskii, Victor E. Shatalov, Boris Yu. Sternin
| Contact geometry and linear differential equations [[electronic resource] /] / by Vladimir E. Nazaikinskii, Victor E. Shatalov, Boris Yu. Sternin |
| Autore | Nazaĭkinskiĭ V. E |
| Edizione | [Reprint 2011] |
| Pubbl/distr/stampa | Berlin ; ; New York, : W. de Gruyter, 1992 |
| Descrizione fisica | 1 online resource (228 p.) |
| Disciplina | 515/.354 |
| Altri autori (Persone) |
ShatalovV. E (Viktor Evgenʹevich)
SterninB. I͡U |
| Collana | De Gruyter expositions in mathematics |
| Soggetto topico |
Differential equations, Linear
WKB approximation |
| ISBN | 3-11-087310-9 |
| Classificazione | SK 540 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Chapter I. Homogeneous functions, Fourier transformation, and contact structures -- Chapter II. Fourier-Maslov operators -- Chapter III. Applications to differential equations -- References -- Index -- Backmatter |
| Record Nr. | UNINA-9910785820303321 |
|
Nazaĭkinskiĭ V. E
|
||
| Berlin ; ; New York, : W. de Gruyter, 1992 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Elements of partial differential equations / / Pavel Drábek, Gabriela Holubová
| Elements of partial differential equations / / Pavel Drábek, Gabriela Holubová |
| Autore | Drábek Pavel <1953-> |
| Edizione | [Second, revised and extended edition.] |
| Pubbl/distr/stampa | Berlin, [Germany] ; ; Boston, [Massachusetts] : , : De Gruyter, , 2014 |
| Descrizione fisica | 1 online resource (291 p.) |
| Disciplina | 515/.353 |
| Collana | De Gruyter Textbook |
| Soggetto topico | Differential equations, Partial |
| Soggetto non controllato |
Boundary value problems for evolution and stationary equations
Diffusion equation Integral transforms Laplace and Poisson equation Partial differential equation Wave equation |
| ISBN |
3-11-037404-8
3-11-031667-6 |
| Classificazione | SK 540 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Preface -- Contents -- Chapter 1. Motivation, Derivation of Basic Mathematical Models -- Chapter 2. Classification, Types of Equations, Boundary and Initial Conditions -- Chapter 3. Linear Partial Differential Equations of the First Order -- Chapter 4. Wave Equation in One Spatial Variable - Cauchy Problem in R -- Chapter 5. Diffusion Equation in One Spatial Variable - Cauchy Problem in R -- Chapter 6. Laplace and Poisson Equations in Two Dimensions -- Chapter 7. Solutions of Initial Boundary Value Problems for Evolution Equations -- Chapter 8. Solutions of Boundary Value Problems for Stationary Equations -- Chapter 9. Methods of Integral Transforms -- Chapter 10. General Principles -- Chapter 11. Laplace and Poisson equations in Higher Dimensions -- Chapter 12. Diffusion Equation in Higher Dimensions -- Chapter 13. Wave Equation in Higher Dimensions -- Appendix A. Sturm-Liouville Problem -- Appendix B. Bessel Functions -- Some Typical Problems Considered in this Book -- Notation -- Bibliography -- Index |
| Record Nr. | UNINA-9910787188403321 |
|
Drábek Pavel <1953->
|
||
| Berlin, [Germany] ; ; Boston, [Massachusetts] : , : De Gruyter, , 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Elements of partial differential equations / / Pavel Drábek, Gabriela Holubová
| Elements of partial differential equations / / Pavel Drábek, Gabriela Holubová |
| Autore | Drábek Pavel <1953-> |
| Edizione | [Second, revised and extended edition.] |
| Pubbl/distr/stampa | Berlin, [Germany] ; ; Boston, [Massachusetts] : , : De Gruyter, , 2014 |
| Descrizione fisica | 1 online resource (291 p.) |
| Disciplina | 515/.353 |
| Collana | De Gruyter Textbook |
| Soggetto topico | Differential equations, Partial |
| Soggetto non controllato |
Boundary value problems for evolution and stationary equations
Diffusion equation Integral transforms Laplace and Poisson equation Partial differential equation Wave equation |
| ISBN |
3-11-037404-8
3-11-031667-6 |
| Classificazione | SK 540 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Preface -- Contents -- Chapter 1. Motivation, Derivation of Basic Mathematical Models -- Chapter 2. Classification, Types of Equations, Boundary and Initial Conditions -- Chapter 3. Linear Partial Differential Equations of the First Order -- Chapter 4. Wave Equation in One Spatial Variable - Cauchy Problem in R -- Chapter 5. Diffusion Equation in One Spatial Variable - Cauchy Problem in R -- Chapter 6. Laplace and Poisson Equations in Two Dimensions -- Chapter 7. Solutions of Initial Boundary Value Problems for Evolution Equations -- Chapter 8. Solutions of Boundary Value Problems for Stationary Equations -- Chapter 9. Methods of Integral Transforms -- Chapter 10. General Principles -- Chapter 11. Laplace and Poisson equations in Higher Dimensions -- Chapter 12. Diffusion Equation in Higher Dimensions -- Chapter 13. Wave Equation in Higher Dimensions -- Appendix A. Sturm-Liouville Problem -- Appendix B. Bessel Functions -- Some Typical Problems Considered in this Book -- Notation -- Bibliography -- Index |
| Record Nr. | UNINA-9910817891103321 |
|
Drábek Pavel <1953->
|
||
| Berlin, [Germany] ; ; Boston, [Massachusetts] : , : De Gruyter, , 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The Hodge-Laplacian : boundary value problems on Riemannian manifolds / / Dorina Mitrea [and three others]
| 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
|
||
| Berlin, [Germany] ; ; Boston, [Massachusetts] : , : De Gruyter, , 2016 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
