Partial Differential Equations
There is also new material on Neumann boundary value problems, Poincaré inequalities, expansions, as well as a new proof of the Hölder regularity of solutions of the Poisson equation. Jürgen Jost is Co-Director of the Max Planck Institute for Mathematics in the Sciences and Professor of Mathematics...
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| Format: | eBook |
| Language: | English |
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New York, NY
Springer New York
2007, 2007
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| Edition: | 2nd ed. 2007 |
| Series: | Graduate Texts in Mathematics
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| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of Contents:
- 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