ENGLISH

Partial Differential Equations

Book information

Publisher
Springer
Year
2002
ISBN
1441923802, 9781441923806
Language
english
Format
DJVU
Filesize
3 MB (2836533 bytes)
Series
Graduate Texts in Mathematics, 214
Edition
1st
Pages
325\339
Orientation
yes
Scanned
no
Time added
2012-02-04 16:00:00

Description

This book offers an ideal introduction to the theory of partial differential equations. It focuses on elliptic equations and systematically develops the relevant existence schemes, always with a view towards nonlinear problems. It also develops the main methods for obtaining estimates for solutions of elliptic equations: Sobolev space theory, weak and strong solutions, Schauder estimates, and Moser iteration. It also explores connections between elliptic, parabolic, and hyperbolic equations as well as the connection with Brownian motion and semigroups. This second edition features a new chapter on reaction-diffusion equations and systems.

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