A Wave Inequality with Convolution Nonlinearities

被引：0

作者：

Jleli, Mohamed ^{[1
]}

Samet, Bessem ^{[1
]}

机构：

[1] King Saud Univ, Coll Sci, Dept Math, POB 2455, Riyadh 11451, Saudi Arabia

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2023年 / 20卷 / 06期

关键词：

Wave inequalities; nonlinear convolution terms; existence; nonexistence; PARABOLIC DIFFERENTIAL-INEQUALITIES; BOUNDARY-VALUE-PROBLEMS; BLOW-UP; HARTREE EQUATION; EXTERIOR DOMAINS; NONEXISTENCE; SYSTEMS; MECHANICS; BEHAVIOR; ATOM;

D O I：

10.1007/s00009-023-02530-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a wave inequality in an exterior domain of R-N, involving the product of two nonlinear convolution terms. The problem is considered under an inhomogeneous Dirichlet-type boundary condition. We establish sufficient conditions depending on the parameters of the problem, under which we have existence/nonexistence of weak solutions.

引用

页数：25

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