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Regularity Problem for Quasilinear Elliptic and Parabolic Systems

  • Authors
  • Alexander Koshelev

Part of the Lecture Notes in Mathematics book series (LNM, volume 1614)

About this book

Introduction

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.

Keywords

Partial differential equations Smooth function differential equation elliptic parabolic system mathematical physics partial differential equation regularity

Bibliographic information

  • DOI https://doi.org/10.1007/BFb0094482
  • Copyright Information Springer-Verlag Berlin Heidelberg 1995
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-60251-4
  • Online ISBN 978-3-540-44772-6
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • Buy this book on publisher's site