On stabilization of solutions of the cauchy problem for linear degenerate parabolic equations

S. D. Eidelman, S. Kamin, A. F. Tedeev

Research output: Contribution to journalArticlepeer-review

Abstract

We study the asymptotic behaviour of solutions to the Cauchy problem for linear degenerate parabolic equations. The coef-ficients of the equations may grow or tend to zero as |x| → ∞ We establish necessary and sufficient conditions on the initial data which guarantee the stabilization of the solution to a constant.

Original languageEnglish
Pages (from-to)621-641
Number of pages21
JournalAdvances in Differential Equations
Volume14
Issue number7-8
StatePublished - 2009

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