This article is cited in 17 papers

Conditions for global non-existence and localizations of solutions of the Cauchy problem for a class of non-linear parabolic equations

V. A. Galaktionov

Moscow

Abstract: The sufficient conditions are found for the unsolvability or global solvability of the Cauchy problem for a class of quasilinear parabolic equations. Conditions are also obtained for localization (“in the large” or “in the small”) of solutions of the problem, and for the absence of localization in the large.

UDC: 517.956.4

MSC: Primary 35K55; Secondary 35K15, 35A05

Received: 30.11.1981
Revised: 22.06.1983

 English version: USSR Computational Mathematics and Mathematical Physics, 1983, 23:6, 36–44

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