Some nonexistence results for higher-order evolution inequalities in cone-like domains

被引：17

作者：

Laptev, GG ^{[1
]}

机构：

[1] VA Steklov Math Inst, Dept Funct Theory, Moscow, Russia

来源：

ELECTRONIC RESEARCH ANNOUNCEMENTS OF THE AMERICAN MATHEMATICAL SOCIETY | 2001年 / 7卷

关键词：

D O I：

10.1090/S1079-6762-01-00098-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Nonexistence of global (positive) solutions of semilinear higher-order evolution inequalities [GRAPHICS] with k = 1, 2, . . . ., in cone-like domains is studied. The critical exponents q* are found and the nonexistence results are proved for 1 < q <less than or equal to> q*. Remark that the corresponding result for k = 1 (parabolic problem) is sharp.

引用

页码：87 / 93

页数：7

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