Qualitative Theory of Parabolic Equations, Part 1 / / T. I. Zelenyak, M. P. Vishnevskii, M. M. Lavrentiev.

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Bibliographic Details
Superior document:Title is part of eBook package: De Gruyter DGBA Mathematics - 1990 - 1999
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Place / Publishing House:Berlin ;, Boston : : De Gruyter, , [2011]
©1997
Year of Publication:2011
Edition:Reprint 2011
Language:English
Online Access:
Physical Description:1 online resource (417 p.)
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Table of Contents:
  • I-IV
  • Contents
  • Introduction.
  • Chapter 1 Local behavior of solutions of boundary-value problems for nonlinear parabolic systems in the neighborhood of a stationary or periodic solution.
  • Chapter 2 Construction of Liapunov's functionals in the case of one spatial variable.
  • Chapter 3 The behavior of solutions of one-dimensional nonlinear problems over extended time.
  • Chapter 4 The stability criterion for the trivial solution to the mixed problem for the second order parabolic equation.
  • Chapter 5 The attraction domains of stable stationary or stable periodic solutions.
  • Chapter 6 On stabilization of mixed problem solutions for autonomous quasilinear parabolic equations.
  • Appendix.
  • Bibliography