ENGLISH

Regularity Problem for Quasilinear Elliptic and Parabolic Systems

By Alexander Koshelev (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
1995
ISBN
3540602518, 9783540602514
DOI
10.1007/BFb0094482
LCC
QA3 .L28 no. 1614,QA377 .L28 no. 1614
Open Library ID
OL22204325M
Language
english
Format
DJVU
Filesize
1 MB (1423325 bytes)
Series
Lecture Notes in Mathematics 1614
Edition
1
Pages
262\277
Library
Kolxo3
DPI
300
Time added
2009-07-20 03:45:11
Analysis

Description

The smoothness of solutions for quasilinear systems is one of the most important problems in modern mathematical physics. This book deals with regular or strong solutions for general quasilinear second-order elliptic and parabolic systems. Applications in solid mechanics, hydrodynamics, elasticity and plasticity are described. The results presented are based on two main ideas: the universal iterative method, and explicit, sometimes sharp, coercivity estimates in weighted spaces. Readers are assumed to have a standard background in analysis and PDEs.

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