Partial differential equations
This book offers an ideal graduate-level introduction to the theory of partial differential equations. The first part of the book describes the basic mathematical problems and structures associated with elliptic, parabolic, and hyperbolic partial differential equations, and explores the connections...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Livre numérique |
| Sprache: | Anglais |
| Veröffentlicht: |
New York, NY :
Springer New York : Imprint: Springer
[20..].
Cham : Springer Nature |
| Ausgabe: | 3rd ed. 2013. |
| Schriftenreihe: | Graduate Texts in Mathematics
214 |
| Online Zugang: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Anmerkung: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Partial differential equations, Jürgen Jost, 3rd edition, 2013, New York, Springer, 1 vol. (XIII-410 p.), Graduate texts in mathematics, 978-1-4614-4808-2 |
Inhaltsangabe:
- Preface Introduction: What are Partial Differential Equations? 1 The Laplace equation as the Prototype of an Elliptic Partial Differential Equation of Second Order 2 The Maximum Principle 3 Existence Techniques I: Methods Based on the Maximum Principle 4 Existence Techniques II: Parabolic Methods. The Heat Equation 5 Reaction-Diffusion Equations and Systems 6 Hyperbolic Equations 7 The Heat Equation, Semigroups, and Brownian Motion.- 8 Relationships between Different Partial Differential Equations 9 The Dirichlet Principle. Variational Methods for the Solutions of PDEs (Existence Techniques III) 10 Sobolev Spaces and L^2 Regularity theory 11 Strong solutions 12 The Regularity Theory of Schauder and the Continuity Method (Existence Techniques IV) 13The Moser Iteration Method and the Regularity Theorem of de Giorgi and Nash Appendix: Banach and Hilbert spaces. The L^p-Spaces References Index of Notation Index