Blow-up in Nonlinear Sobolev Type Equations /

Blow-up in Nonlinear Sobolev Type Equations / / Alexander B. Al'shin, Maxim O. Korpusov, Alexey G. Sveshnikov.

The monograph is devoted to the study of initial-boundary-value problems for multi-dimensional Sobolev-type equations over bounded domains. The authors consider both specific initial-boundary-value problems and abstract Cauchy problems for first-order (in the time variable) differential equations wi...

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Bibliographic Details
Superior document:Title is part of eBook package: De Gruyter DG Studies in Nonlinear Analysis and Applications
VerfasserIn:
Al'shin, Alexander B.,
Korpusov, Maxim O.,
Sveshnikov, Alexey G.,
Place / Publishing House:Berlin ;, Boston : : De Gruyter, , [2011]
©2011
Year of Publication:2011
Language:English
Series:De Gruyter Series in Nonlinear Analysis and Applications , 15
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Physical Description:1 online resource (648 p.)
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Table of Contents:
  • Frontmatter
  • Preface
  • Contents
  • Chapter 0 Introduction
  • Chapter 1 Nonlinear model equations of Sobolev type
  • Chapter 2 Blow-up of solutions of nonlinear equations of Sobolev type
  • Chapter 3 Blow-up of solutions of strongly nonlinear Sobolev-type wave equations and equations with linear dissipation
  • Chapter 4 Blow-up of solutions of strongly nonlinear, dissipative wave Sobolev-type equations with sources
  • Chapter 5 Special problems for nonlinear equations of Sobolev type
  • Chapter 6 Numerical methods of solution of initial-boundary-value problems for Sobolev-type equations
  • Appendix A Some facts of functional analysis
  • Appendix B To Chapter 6
  • Bibliography
  • Index

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