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

共 50 条

[1] A Wave Inequality with Convolution Nonlinearities
Mohamed Jleli
Bessem Samet
[J]. Mediterranean Journal of Mathematics, 2023, 20
[2] A convolution inequality
Pycia M.
[J]. aequationes mathematicae, 1999, 57 (2) : 185 - 200
[3] On a convolution inequality of Saitoh
Cwikel, M
Kerman, R
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1996, 124 (03) : 773 - 777
[4] On the infimum convolution inequality
Latala, R.
Wojtaszczyk, J. O.
[J]. STUDIA MATHEMATICA, 2008, 189 (02) : 147 - 187
[5] THE CONVOLUTION INEQUALITY FOR ENTROPY POWERS
BLACHMAN, NM
[J]. IEEE TRANSACTIONS ON INFORMATION THEORY, 1965, 11 (02) : 267 - 271
[6] A SHARPENED INEQUALITY FOR TWISTED CONVOLUTION
O'Neill, Kevin
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2022, 150 (11) : 4685 - 4697
[7] Smoothness of extremizers of a convolution inequality
Christ, Michael
Xue, Qingying
[J]. JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2012, 97 (02): : 120 - 141
[8] DIFFERENTIAL INCLUSION PROBLEMS WITH CONVOLUTION AND DISCONTINUOUS NONLINEARITIES
Liu, Yongjian
Liu, Zhenhai
Motreanu, Dumitru
[J]. EVOLUTION EQUATIONS AND CONTROL THEORY, 2020, 9 (04): : 1057 - 1071
[9] A stochastic convolution integral inequality
Makasu, Cloud
[J]. INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS, 2020, 23 (04)
[10] SHARPNESS IN YOUNGS INEQUALITY FOR CONVOLUTION
FOURNIER, JJF
[J]. PACIFIC JOURNAL OF MATHEMATICS, 1977, 72 (02) : 383 - 397

← 1 2 3 4 5 →