Partial Differential Equations

Name: Partial Differential Equations
Price: 22.24 USD
Availability: InStock
ISBN: 9780387954288

ISBN-10: 0387954287

ISBN-13: 9780387954288

Edition: 2002

Authors: Jï¿½rgen Jost

List price: $69.95

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Description:

Designed for graduate students, this introduction to the theory of partial differential equations focuses on maximum principle methods, parabolic equations, variational methods and wave equations.

Book details

List price: $69.95
Copyright year: 2002
Publisher: Springer
Publication date: 8/12/2002
Binding: Hardcover
Pages: 348
Size: 6.25" wide x 9.50" long x 0.75" tall
Weight: 1.342
Language: English



Introduction


The Laplace equation as the prototype of an elliptic partial differential equation of 2nd order


The maximum principle


Existence techniques


methods based on the maximum principle


Existence techniques


Parabolic methods


The Head equation


The wave equation and its connections with the Laplace and heat equation


The heat equation, semigroups, and Brownian motion


The Dirichlet principle


Variational methods for the solution of PDE (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 reqularity theorem of de Giorgi and Nash


Banach and Hilbert spaces


The Lp-spaces


Bibliography