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.
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页码：255 / 270
页数：16
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