Partial Differential Equations
Jürgen Jost
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.
Категории:
Година:
2002
Издание:
1st
Издателство:
Springer
Език:
english
Страници:
325
ISBN 10:
1441923802
ISBN 13:
9781441923806
Серия:
Graduate Texts in Mathematics, 214
Файл:
DJVU, 2.71 MB
IPFS:
,
english, 2002