Partial differential equations (Book, 2002) [WorldCat.org]
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Partial differential equations

Author: Jürgen Jost
Publisher: New York : Springer, ©2002.
Series: Graduate texts in mathematics, 214.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
"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 toward nonlinear problems. These are maximum principle methods (particularly important for numerical analysis schemes), parabolic equations, variational methods, and continuity  Read more...
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Details

Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Jürgen Jost
ISBN: 0387954287 9780387954288
OCLC Number: 48681893
Language Note: Translated from the German.
Description: xi, 325 pages : illustrations ; 25 cm.
Contents: 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. The wave equation and its connections with the Laplace nad heat equations --
6. The heat equation, semigroups, and Brownian motion --
7. The Dirichlet principle. Variational methods for the solution of PDEs (existence techniques III) --
8. Sobolev spaces and L[superscript 2] regularity theory --
9. Strong solutions --
10. The regularity theory of Schauder and the continuity method (existence techniques IV) --
11. The Moser iteration method and the regularity theorem of de Giorgi and Nash --
Appendix: Banach and Hilbert spaces. The L[superscript p]-spaces.
Series Title: Graduate texts in mathematics, 214.
Responsibility: Jürgen Jost.

Abstract:

Intended for students who wish to get an introduction to the theory of partial differential equations. This book focuses on elliptic equations and develops the relevant existence schemes, with a view  Read more...

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