You are here

Partial Differential Equations

Edition: 
3
Publisher: 
Springer
Number of Pages: 
410
Price: 
79.95
ISBN: 
9781461448082
Date Received: 
Thursday, December 13, 2012
Reviewable: 
Yes
Include In BLL Rating: 
No
Jürgen Jost
Series: 
Graduate Texts in Mathematics
Publication Date: 
2013
Format: 
Hardcover
Category: 
Textbook

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.

Publish Book: 
Modify Date: 
Thursday, December 13, 2012

Dummy View - NOT TO BE DELETED