TY  - BOOK
AU  - Jost,Jürgen
TI  - Partial differential equations
SN  - 9781461448082
U1  - 515.353 
PY  - 2013///
CY  - New York
PB  - Springer
KW  - Differential equations, Partial
N1  - Includes bibliographical references and index; 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, Semi groups, 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
ER  -