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Nonexistence results for pseudo-parabolic equations in the Heisenberg group
Journal article   Peer reviewed

Nonexistence results for pseudo-parabolic equations in the Heisenberg group

Mohamed Jleli, Mokhtar Kirane and Bessem Samet
Monatshefte für Mathematik, Vol.180(2), pp.255-270
01/06/2016

Abstract

Mathematics Physical Sciences Science & Technology
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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