Regularity Problem for Quasilinear Elliptic and Parabolic Systems

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48,10 

Lecture Notes in Mathematics 1614

ISBN: 3540602518
ISBN 13: 9783540602514
Autor: Koshelev, Alexander
Verlag: Springer Verlag GmbH
Umfang: xxii, 262 S.
Erscheinungsdatum: 18.09.1995
Auflage: 1/1995
Produktform: Kartoniert
Einband: Kartoniert
Artikelnummer: 5283214 Kategorie:

Beschreibung

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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