Partial Differential Equations
This book is intended for students who wish to get an introduction to the theory of partial differential equations. The author focuses on elliptic equations and systematically develops the relevant existence schemes, always with a view towards nonlinear problems. These are maximum principle methods...
সংরক্ষণ করুন:
| প্রধান লেখক: | |
|---|---|
| বিন্যাস: | Livre numérique |
| ভাষা: | Anglais |
| প্রকাশিত: |
New York, NY :
Springer New York : Springer e-books
[20..].
Cham : Springer Nature |
| সংস্করন: | Second Edition. |
| মালা: | Graduate Texts in Mathematics
214 |
| অনলাইন ব্যবহার করুন: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| টীকা: |
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, 2nd edition, New York, Springer, 2007, 1 volume (xiii-356 pages), Graduate texts in mathematics, 978-0-387-49318-3 |
সূচিপত্রের সারণি:
- Introduction: What Are Partial Differential Equations? The Laplace Equation as the Prototype of an Elliptic Partial Differential Equation of Second Order The Maximum Principle Existence Techniques I: Methods Based on the Maximum Principle Existence Techniques II: Parabolic Methods. The Heat Equation Reaction-Diffusion Equations and Systems The Wave Equation and its Connections with the Laplace and Heat Equations The Heat Equation, Semigroups, and Brownian Motion The Dirichlet Principle. Variational Methods for the Solution of PDEs (Existence Techniques III) Sobolev Spaces and L2 Regularity Theory Strong Solutions The Regularity Theory of Schauder and the Continuity Method (Existence Techniques IV) The Moser Iteration Method and the Regularity Theorem of de Giorgi and Nash