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Partial differential equations

Author: Jürgen Jost
Publisher: New York : Springer, [2013] ©2013
Series: Graduate texts in mathematics, 214.
Edition/Format:   Print book : English : Third editionView all editions and formats
Database:WorldCat
Summary:

This extensively revised and updated new edition of a core text on partial differential equations features clear and systematic discussion of the relations between different types of PDEs. It covers  Read more...

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Additional Physical Format: Reproduction of (manifestation):
Jost, Jürgen, 1956-
Partial differential equations.
New York : Springer, ©2013
1 online resource
(OCoLC)821020902
Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Jürgen Jost
ISBN: 9781461448082 1461448085
OCLC Number: 821223672
Description: xiii, 410 pages ; 24 cm.
Contents: 1. Introduction: what are partial differential equations? --
2. The Laplace equation as the prototype of an elliptic partial differential equation of second order --
3. The maximum principle --
4. Existence techniques I: methods based on the maximum principle --
5. Existence techniques II: parabolic methods, the heat equation --
6. Reaction-diffusion equations and systems --
7. Hyperbolic equations --
8. The heat equation, semigroups, and Brownian motion --
9. Relationships between different partial differential equations --
10. The Dirichlet principle, variational methods for the solution of PDEs (Existence techniques III) --
11. Sobolev spaces and L² regularity theory --
12. Strong solutions --
13. The regularity theory of Schauder and the continuity method (Existence techniques IV) --
14. 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.
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From the book reviews: "This graduate-level book is an introduction to the modern theory of partial differential equations (PDEs) with an emphasis on elliptic PDEs. ... The book is undoubtedly a Read more...

 
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