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  • © 1995

Regularity Problem for Quasilinear Elliptic and Parabolic Systems

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

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About this book

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

  • Book Title: Regularity Problem for Quasilinear Elliptic and Parabolic Systems

  • Authors: Alexander Koshelev

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0094482

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1995

  • Softcover ISBN: 978-3-540-60251-4Published: 18 September 1995

  • eBook ISBN: 978-3-540-44772-6Published: 14 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: XXII, 262

  • Topics: Analysis

Buy it now

Buying options

eBook USD 54.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 69.95
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access