This article is cited in 6 papers

Non-existence of solutions of semilinear parabolic differential inequalities in cones

G. G. Laptev

Tula State University

Abstract: Problems of the non-existence of global non-trivial solutions of semilinear parabolic differential inequalities and second-order systems in cones are investigated. The proofs are based on the method of test functions and do not use comparison theorems or the maximum principle.

UDC: 517.9

MSC: Primary 35K15, 35K45, 35B60; Secondary 35K55

Received: 19.02.2001

DOI: 10.4213/sm602

 English version: Sbornik: Mathematics, 2001, 192:10, 1471–1490

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