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Analytic semigroups and semilinear initial boundary value problems / Kazuaki Taira, Waseda University, Japan
| Analytic semigroups and semilinear initial boundary value problems / Kazuaki Taira, Waseda University, Japan |
| Autore | Taira, Kazuaki |
| Edizione | [Second edition] |
| Descrizione fisica | xvi, 331 p. ; 23 cm |
| Disciplina | 515.35 |
| Collana | London Mathematical Society lecture note series ; 434 |
| Soggetto topico |
Differential equations, Parabolic
Boundary value problems Semigroups |
| ISBN | 9781316620861 |
| Classificazione |
AMS 35K
AMS 47H20 LC QA377.T27 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991003424939707536 |
Taira, Kazuaki
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| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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Analytic theory of differential equations : the proceedings of the conference at Western Michigan University, Kalamazoo, from 30 April to 2 May 1970 / edited by P. F. Hsieh, A. W. J. Stoddart
| Analytic theory of differential equations : the proceedings of the conference at Western Michigan University, Kalamazoo, from 30 April to 2 May 1970 / edited by P. F. Hsieh, A. W. J. Stoddart |
| Autore | Conference on analytic theory of differential equations : <1970 |
| Pubbl/distr/stampa | Berlin [etc.] : Springer, 1971 |
| Descrizione fisica | VI, 225 p. ; 26 cm. |
| Disciplina | 515.35 |
| Collana | Lecture notes in mathematics |
| Soggetto topico | Equazioni differenziali - Congressi |
| ISBN | 3-540-05369-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNIBAS-000014915 |
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Conference on analytic theory of differential equations : <1970
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| Berlin [etc.] : Springer, 1971 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. della Basilicata | ||
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Analytic theory of differential equations : the proceedings of the conference at Western Michigan University, Kalamazoo, from 30 April to 2 May 1970 / / edited by Po Fang Hsieh, A. W. J. Stoddart
| Analytic theory of differential equations : the proceedings of the conference at Western Michigan University, Kalamazoo, from 30 April to 2 May 1970 / / edited by Po Fang Hsieh, A. W. J. Stoddart |
| Edizione | [1st ed. 1971.] |
| Pubbl/distr/stampa | Berlin ; ; Heidelberg ; ; New York : , : Springer-Verlag, , [1971] |
| Descrizione fisica | 1 online resource (VIII, 232 p.) |
| Disciplina | 515.35 |
| Collana | Lecture notes in mathematics (Springer-Verlag) |
| Soggetto topico | Differential equations |
| ISBN | 3-540-36454-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Multi-valued operators and boundary value problems -- Functional differential equations -- The fourier integral and the expansion problem for ordinary differential operators -- Small solutions of a high frequency linear oscillator -- A geometric approach to boundary value problems for nonlinear ordinary differential equations with a small parameter -- Characteristic multipliers and the riccati equation -- Analytic theory of difference equations -- Bounded solutions and stable domains of nonlinear ordinary differential equations -- A boundary value problem in the complex plane -- Stokes multipliers for the equation {ie145-1} -- The central connection problem at turning points of linear differential equations -- On certain solutions of algebraic differential equations -- Uniform asymptotic splitting of linear differential equations -- Functional analysis and boundary value problems -- Initial-boundary value problems and moving boundaries -- Singular perturbation of elliptic equations II -- New results on the approximation of solutions to partial differential equations: The method of particular solutions -- New results on the approximation of solutions to partial differential equations: Iterative methods -- Overdetermined systems on L2(R n + ). |
| Record Nr. | UNISA-996466610503316 |
| Berlin ; ; Heidelberg ; ; New York : , : Springer-Verlag, , [1971] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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Analytical and numerical approaches to asymptotic problems in analysis : proceedings of the conference on analytical and numerical approaches to asymptotic problems, University of Nijmegen, The Netherlands, June 9-13, 1980 / edited by O. Axelsson, L. S. Frank and A. Van der Sluis
| Analytical and numerical approaches to asymptotic problems in analysis : proceedings of the conference on analytical and numerical approaches to asymptotic problems, University of Nijmegen, The Netherlands, June 9-13, 1980 / edited by O. Axelsson, L. S. Frank and A. Van der Sluis |
| Autore | Conference on analytical and numerical approaches to asymptotic problems : <1980> |
| Pubbl/distr/stampa | Amsterdam : North-Holland, 1981 |
| Descrizione fisica | XVI, 381 p. ; 24 cm |
| Disciplina | 515.35 |
| Collana | North-Holland mathematics studies |
| Soggetto non controllato | Equazioni differenziali |
| ISBN | 0-444-86131-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNIPARTHENOPE-000019286 |
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Conference on analytical and numerical approaches to asymptotic problems : <1980>
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| Amsterdam : North-Holland, 1981 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Parthenope | ||
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Analytical and numerical approaches to asymptotic problems in analysis : proceedings of the Conference on Analytical and Numerical approaches to Asymptotic Problems, University of Nijmegen, the Netherlands, June 9-13, 1980 / edited by O. Axelsson, L.S. Frank, and A. van der Sluis
| Analytical and numerical approaches to asymptotic problems in analysis : proceedings of the Conference on Analytical and Numerical approaches to Asymptotic Problems, University of Nijmegen, the Netherlands, June 9-13, 1980 / edited by O. Axelsson, L.S. Frank, and A. van der Sluis |
| Autore | Frank, Leonid S. |
| Pubbl/distr/stampa | Amsterdam ; New York : North-Holland, c1981 |
| Descrizione fisica | xvi, 381 p. : ill. ; 24 cm |
| Disciplina | 515.35 |
| Altri autori (Persone) |
Sluis, Abraham : van der
Axelsson, Owe |
| Collana | North-Holland mathematics studies, 0304-0208 ; 47 |
| Soggetto topico |
Differential equations
Differential equations - Congresses Partial differential equations - Congresses |
| ISBN | 0444861319 |
| Classificazione |
AMS 35-XX
LC QA370 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991000684139707536 |
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Frank, Leonid S.
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| Amsterdam ; New York : North-Holland, c1981 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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Analytical Methods in Applied Mathematics / / by Edmundo Capelas de Oliveira, José Emílio Maiorino
| Analytical Methods in Applied Mathematics / / by Edmundo Capelas de Oliveira, José Emílio Maiorino |
| Autore | Oliveira Edmundo Capelas de |
| Edizione | [1st ed. 2025.] |
| Pubbl/distr/stampa | Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2025 |
| Descrizione fisica | 1 online resource (395 pages) |
| Disciplina | 515.35 |
| Altri autori (Persone) | MaiorinoJosé Emílio |
| Collana | Problem Books in Mathematics |
| Soggetto topico |
Differential equations
Engineering mathematics Engineering - Data processing Sequences (Mathematics) Mathematical analysis Functions, Special Differential Equations Mathematical and Computational Engineering Applications Sequences, Series, Summability Integral Transforms and Operational Calculus Special Functions Equacions diferencials Successions (Matemàtica) Anàlisi matemàtica Funcions especials |
| Soggetto genere / forma | Llibres electrònics |
| ISBN |
9783031747946
3031747941 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preface -- Ordinary Differential Equations -- Power Series and the Frobenius Method -- Laurent Series and Residues -- Special Functions -- Fourier, Fourier-Bessel and Fourier-Legendre Series -- Laplace and Fourier Transforms -- Sturm-Liouville Systems -- Partial Differential Equations -- Separation of Variables -- Fractional Calculus -- Applications -- Answers and Hints -- Index. |
| Record Nr. | UNINA-9910983074703321 |
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Oliveira Edmundo Capelas de
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| Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2025 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Analytically uniform spaces and their applications to convolution equations / / C. A. Berenstein and M. A. Dostal
| Analytically uniform spaces and their applications to convolution equations / / C. A. Berenstein and M. A. Dostal |
| Autore | Berenstein Carlos A. |
| Edizione | [1st ed. 1972.] |
| Pubbl/distr/stampa | Berlin, Germany ; ; New York, New York : , : Springer-Verlag, , [1972] |
| Descrizione fisica | 1 online resource (VIII, 136 p.) |
| Disciplina | 515.35 |
| Collana | Lecture Notes in Mathematics |
| Soggetto topico |
Fourier transformations
Differential equations, Partial Locally convex spaces |
| ISBN | 3-540-37163-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Definition and basic properties of analytically uniform spaces -- Examples of AU-spaces -- Spaces of approximate solutions to certain convolution equations -- The fundamental principle. |
| Record Nr. | UNISA-996466528803316 |
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Berenstein Carlos A.
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| Berlin, Germany ; ; New York, New York : , : Springer-Verlag, , [1972] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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Analyticity and Sparsity in Uncertainty Quantification for PDEs with Gaussian Random Field Inputs [[electronic resource] /] / by Dinh Dũng, Van Kien Nguyen, Christoph Schwab, Jakob Zech
| Analyticity and Sparsity in Uncertainty Quantification for PDEs with Gaussian Random Field Inputs [[electronic resource] /] / by Dinh Dũng, Van Kien Nguyen, Christoph Schwab, Jakob Zech |
| Autore | Dũng Dinh |
| Edizione | [1st ed. 2023.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2023 |
| Descrizione fisica | 1 online resource (216 pages) |
| Disciplina | 515.35 |
| Altri autori (Persone) |
NguyenVan Kien
SchwabChristoph ZechJakob |
| Collana | Lecture Notes in Mathematics |
| Soggetto topico |
Differential equations
Probabilities Numerical analysis Functional analysis Differential Equations Probability Theory Numerical Analysis Functional Analysis |
| ISBN | 9783031383847 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- Acknowledgement -- Contents -- List of Symbols -- List of Abbreviations -- 1 Introduction -- 1.1 An Example -- 1.2 Contributions -- 1.3 Scope of Results -- 1.4 Structure and Content of This Text -- 1.5 Notation and Conventions -- 2 Preliminaries -- 2.1 Finite Dimensional Gaussian Measures -- 2.1.1 Univariate Gaussian Measures -- 2.1.2 Multivariate Gaussian Measures -- 2.1.3 Hermite Polynomials -- 2.2 Gaussian Measures on Separable Locally Convex Spaces -- 2.2.1 Cylindrical Sets -- 2.2.2 Definition and Basic Properties of Gaussian Measures -- 2.3 Cameron-Martin Space -- 2.4 Gaussian Product Measures -- 2.5 Gaussian Series -- 2.5.1 Some Abstract Results -- 2.5.2 Karhunen-Loève Expansion -- 2.5.3 Multiresolution Representations of GRFs -- 2.5.4 Periodic Continuation of a Stationary GRF -- 2.5.5 Sampling Stationary GRFs -- 2.6 Finite Element Discretization -- 2.6.1 Function Spaces -- 2.6.2 Finite Element Interpolation -- 3 Elliptic Divergence-Form PDEs with Log-Gaussian Coefficient -- 3.1 Statement of the Problem and Well-Posedness -- 3.2 Lipschitz Continuous Dependence -- 3.3 Regularity of the Solution -- 3.4 Random Input Data -- 3.5 Parametric Deterministic Coefficient -- 3.5.1 Deterministic Countably Parametric Elliptic PDEs -- 3.5.2 Probabilistic Setting -- 3.5.3 Deterministic Complex-Parametric Elliptic PDEs -- 3.6 Analyticity and Sparsity -- 3.6.1 Parametric Holomorphy -- 3.6.2 Sparsity of Wiener-Hermite PC Expansion Coefficients -- 3.7 Parametric Hs(D)-Analyticity and Sparsity -- 3.7.1 Hs(D)-Analyticity -- 3.7.2 Sparsity of Wiener-Hermite PC Expansion Coefficients -- 3.8 Parametric Kondrat'ev Analyticity and Sparsity -- 3.8.1 Parametric Ks(D)-Analyticity -- 3.8.2 Sparsity of Ks-Norms of Wiener-Hermite PC Expansion Coefficients -- 3.9 Bibliographical Remarks -- 4 Sparsity for Holomorphic Functions.
4.1 (b,ξ,δ,X)-Holomorphy and Sparsity -- 4.2 (b,ξ,δ,X)-Holomorphy of Composite Functions -- 4.3 Examples of Holomorphic Data-to-Solution Maps -- 4.3.1 Linear Elliptic Divergence-Form PDE with Parametric Diffusion Coefficient -- 4.3.2 Linear Parabolic PDE with Parametric Coefficient -- 4.3.3 Linear Elastostatics with Log-Gaussian Modulus of Elasticity -- 4.3.4 Maxwell Equations with Log-Gaussian Permittivity -- 4.3.5 Linear Parametric Elliptic Systems and Transmission Problems -- 5 Parametric Posterior Analyticity and Sparsity in BIPs -- 5.1 Formulation and Well-Posedness -- 5.2 Posterior Parametric Holomorphy -- 5.3 Example: Parametric Diffusion Coefficient -- 6 Smolyak Sparse-Grid Interpolation and Quadrature -- 6.1 Smolyak Sparse-Grid Interpolation and Quadrature -- 6.1.1 Smolyak Sparse-Grid Interpolation -- 6.1.2 Smolyak Sparse-Grid Quadrature -- 6.2 Multiindex Sets -- 6.2.1 Number of Function Evaluations -- 6.2.2 Construction of (ck,ν)νF -- 6.2.3 Summability Properties of the Collection (ck,ν)νF -- 6.2.4 Computing -- 6.3 Interpolation Convergence Rate -- 6.4 Quadrature Convergence Rate -- 7 Multilevel Smolyak Sparse-Grid Interpolation and Quadrature -- 7.1 Setting and Notation -- 7.2 Multilevel Smolyak Sparse-Grid Algorithms -- 7.3 Construction of an Allocation of Discretization Levels -- 7.4 Multilevel Smolyak Sparse-Grid Interpolation Algorithm -- 7.5 Multilevel Smolyak Sparse-Grid Quadrature Algorithm -- 7.6 Examples for Multilevel Interpolation and Quadrature -- 7.6.1 Parametric Diffusion Coefficient in Polygonal Domain -- 7.6.2 Parametric Holomorphy of the Posterior Density in Bayesian PDE Inversion -- 7.7 Linear Multilevel Interpolation and Quadrature Approximation -- 7.7.1 Multilevel Smolyak Sparse-Grid Interpolation -- 7.7.2 Multilevel Smolyak Sparse-Grid Quadrature -- 7.7.3 Applications to Parametric Divergence-Form EllipticPDEs. 7.7.4 Applications to Holomorphic Functions -- 8 Conclusions -- References -- Index. |
| Record Nr. | UNISA-996558453803316 |
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Dũng Dinh
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| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2023 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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Analyticity and Sparsity in Uncertainty Quantification for PDEs with Gaussian Random Field Inputs / / by Dinh Dũng, Van Kien Nguyen, Christoph Schwab, Jakob Zech
| Analyticity and Sparsity in Uncertainty Quantification for PDEs with Gaussian Random Field Inputs / / by Dinh Dũng, Van Kien Nguyen, Christoph Schwab, Jakob Zech |
| Autore | Dũng Dinh |
| Edizione | [1st ed. 2023.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2023 |
| Descrizione fisica | 1 online resource (216 pages) |
| Disciplina | 515.35 |
| Altri autori (Persone) |
NguyenVan Kien
SchwabCh (Christoph) ZechJakob |
| Collana | Lecture Notes in Mathematics |
| Soggetto topico |
Differential equations
Probabilities Numerical analysis Functional analysis Differential Equations Probability Theory Numerical Analysis Functional Analysis Equacions en derivades parcials Processos gaussians Camps aleatoris Anàlisi matemàtica |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 9783031383847 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- Acknowledgement -- Contents -- List of Symbols -- List of Abbreviations -- 1 Introduction -- 1.1 An Example -- 1.2 Contributions -- 1.3 Scope of Results -- 1.4 Structure and Content of This Text -- 1.5 Notation and Conventions -- 2 Preliminaries -- 2.1 Finite Dimensional Gaussian Measures -- 2.1.1 Univariate Gaussian Measures -- 2.1.2 Multivariate Gaussian Measures -- 2.1.3 Hermite Polynomials -- 2.2 Gaussian Measures on Separable Locally Convex Spaces -- 2.2.1 Cylindrical Sets -- 2.2.2 Definition and Basic Properties of Gaussian Measures -- 2.3 Cameron-Martin Space -- 2.4 Gaussian Product Measures -- 2.5 Gaussian Series -- 2.5.1 Some Abstract Results -- 2.5.2 Karhunen-Loève Expansion -- 2.5.3 Multiresolution Representations of GRFs -- 2.5.4 Periodic Continuation of a Stationary GRF -- 2.5.5 Sampling Stationary GRFs -- 2.6 Finite Element Discretization -- 2.6.1 Function Spaces -- 2.6.2 Finite Element Interpolation -- 3 Elliptic Divergence-Form PDEs with Log-Gaussian Coefficient -- 3.1 Statement of the Problem and Well-Posedness -- 3.2 Lipschitz Continuous Dependence -- 3.3 Regularity of the Solution -- 3.4 Random Input Data -- 3.5 Parametric Deterministic Coefficient -- 3.5.1 Deterministic Countably Parametric Elliptic PDEs -- 3.5.2 Probabilistic Setting -- 3.5.3 Deterministic Complex-Parametric Elliptic PDEs -- 3.6 Analyticity and Sparsity -- 3.6.1 Parametric Holomorphy -- 3.6.2 Sparsity of Wiener-Hermite PC Expansion Coefficients -- 3.7 Parametric Hs(D)-Analyticity and Sparsity -- 3.7.1 Hs(D)-Analyticity -- 3.7.2 Sparsity of Wiener-Hermite PC Expansion Coefficients -- 3.8 Parametric Kondrat'ev Analyticity and Sparsity -- 3.8.1 Parametric Ks(D)-Analyticity -- 3.8.2 Sparsity of Ks-Norms of Wiener-Hermite PC Expansion Coefficients -- 3.9 Bibliographical Remarks -- 4 Sparsity for Holomorphic Functions.
4.1 (b,ξ,δ,X)-Holomorphy and Sparsity -- 4.2 (b,ξ,δ,X)-Holomorphy of Composite Functions -- 4.3 Examples of Holomorphic Data-to-Solution Maps -- 4.3.1 Linear Elliptic Divergence-Form PDE with Parametric Diffusion Coefficient -- 4.3.2 Linear Parabolic PDE with Parametric Coefficient -- 4.3.3 Linear Elastostatics with Log-Gaussian Modulus of Elasticity -- 4.3.4 Maxwell Equations with Log-Gaussian Permittivity -- 4.3.5 Linear Parametric Elliptic Systems and Transmission Problems -- 5 Parametric Posterior Analyticity and Sparsity in BIPs -- 5.1 Formulation and Well-Posedness -- 5.2 Posterior Parametric Holomorphy -- 5.3 Example: Parametric Diffusion Coefficient -- 6 Smolyak Sparse-Grid Interpolation and Quadrature -- 6.1 Smolyak Sparse-Grid Interpolation and Quadrature -- 6.1.1 Smolyak Sparse-Grid Interpolation -- 6.1.2 Smolyak Sparse-Grid Quadrature -- 6.2 Multiindex Sets -- 6.2.1 Number of Function Evaluations -- 6.2.2 Construction of (ck,ν)νF -- 6.2.3 Summability Properties of the Collection (ck,ν)νF -- 6.2.4 Computing -- 6.3 Interpolation Convergence Rate -- 6.4 Quadrature Convergence Rate -- 7 Multilevel Smolyak Sparse-Grid Interpolation and Quadrature -- 7.1 Setting and Notation -- 7.2 Multilevel Smolyak Sparse-Grid Algorithms -- 7.3 Construction of an Allocation of Discretization Levels -- 7.4 Multilevel Smolyak Sparse-Grid Interpolation Algorithm -- 7.5 Multilevel Smolyak Sparse-Grid Quadrature Algorithm -- 7.6 Examples for Multilevel Interpolation and Quadrature -- 7.6.1 Parametric Diffusion Coefficient in Polygonal Domain -- 7.6.2 Parametric Holomorphy of the Posterior Density in Bayesian PDE Inversion -- 7.7 Linear Multilevel Interpolation and Quadrature Approximation -- 7.7.1 Multilevel Smolyak Sparse-Grid Interpolation -- 7.7.2 Multilevel Smolyak Sparse-Grid Quadrature -- 7.7.3 Applications to Parametric Divergence-Form EllipticPDEs. 7.7.4 Applications to Holomorphic Functions -- 8 Conclusions -- References -- Index. |
| Record Nr. | UNINA-9910751387703321 |
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Dũng Dinh
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| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2023 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Analyzing multiscale phenomena using singular perturbation methods : American Mathematical Society short course, January 5-6, 1998, Baltimore, Maryland / Jane Cronin, Robert E. O'Malley, Jr., editors
| Analyzing multiscale phenomena using singular perturbation methods : American Mathematical Society short course, January 5-6, 1998, Baltimore, Maryland / Jane Cronin, Robert E. O'Malley, Jr., editors |
| Pubbl/distr/stampa | Providence, RI : American Mathematical Society, 1999 |
| Descrizione fisica | x, 187 p. : ill. ; 26 cm |
| Disciplina | 515.35 |
| Altri autori (Persone) |
Cronin, Janeauthor
O'Malley, Robert E. |
| Altri autori (Enti) | American Mathematical Society : Short course <1998 : Baltimore, Maryland> |
| Collana | Proceedings of symposia in applied mathematics, 0160-7634 ; 56. AMS short course lecture notes |
| Soggetto topico |
Singular perturbations (Mathematics) - Congresses
Differentiable dynamical systems - Congresses |
| ISBN | 0821809296 |
| Classificazione |
AMS 34D15
AMS 34E15 LC QA372.A54 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991001264899707536 |
| Providence, RI : American Mathematical Society, 1999 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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