Mokhtar Kirane, Lakhdar Ragoub
Abstract:
Sufficient conditions are obtained for the nonexistence of solutions
to the nonlinear pseudo-hyperbolic equation
where
is the Kohn-Laplace operator on the
-dimensional
Heisenberg group
.
Then, this result is extended to the case of a
-system
of the
same type. Our technique of proof is based on judicious choices of
the test functions in the weak formulation of the sought solutions.
Submitted January 5, 2015. Published April 22, 2015.
Math Subject Classifications: 47J35, 34A34, 35R03.
Key Words: Nonexistence; nonlinear pseudo-hyperbolic equation;
systems of pseudo-hyperbolic equations; Heisenberg group.
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Mokhtar Kirane Laboratoire de Mathématiques, Image et Applications Pôle Sciences et Technologies Université de La Rochelle Avenue M. Crépeau, 17042 La Rochelle, France email: mkirane@univ-lr.fr | |
Lakhdar Ragoub Al Yamamah University College of Computers and Information Systems P.O. Box 45180, Riyadh 11512, Saudi Arabia email: l_ragoub@yu.edu.sa |
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