Nonexistence results for pseudo-parabolic equations in the Heisenberg group

被引：8

作者：

Jleli, Mohamed ^{[1
]}

Kirane, Mokhtar ^{[2
,3
]}

Samet, Bessem ^{[1
]}

机构：

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

[2] Univ La Rochelle, Pole Sci & Technol, Lab Math Image & Applicat, Ave M Crepeau, F-17042 La Rochelle, France

[3] King Abdulaziz Univ, Fac Sci, Dept Math, NAAM Res Grp, POB 80203, Jeddah 21589, Saudi Arabia

来源：

MONATSHEFTE FUR MATHEMATIK | 2016年 / 180卷 / 02期

关键词：

Nonexistence; Nonlinear pseudo-parabolic equation; System; Heisenberg group; CRITICAL EXPONENT; CAUCHY-PROBLEM; INEQUALITIES; THEOREMS;

D O I：

10.1007/s00605-015-0823-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We derive sufficient conditions for the nonexistence of global weak solutions to the nonlinear pseudo-parabolic equation ut - Hut - Hu = |u| p +f(t,.),(t,.).(0,8)xH,where is the Kohn-Laplace operator on the -dimensional Heisenberg group , and is a given function. Next, we extend this result to the case of systems. Our technique of proof is based on the test function method.

引用

页码：255 / 270

页数：16

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