This article is cited in 3 papers

On the global unsolvability of Cauchy problems for quasilinear parabolic equations

V. A. Galaktionov

Moscow

Abstract: Sufficient conditions are found for global unsolvability of the Cauchy problem for parabolic equations of the non-linear heat conduction type with a source. In the case of equations of a special kind, the class of initial functions is isolated, with which the Cauchy problem is globally solvable.

UDC: 519.633

MSC: Primary 35K55; Secondary 35K15, 35B40

Received: 07.08.1981
Revised: 06.04.1982

 English version: USSR Computational Mathematics and Mathematical Physics, 1983, 23:5, 31–41

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