Bashir Ahmad, Ahmed Alsaedi, Mokhtar Kirane
Abstract:
This article presents necessary conditions for the existence of weak solutions
of the following space-nonlocal evolution equations on
, where
is the Heisenberg group:
.
Moreover, the life span
for each equation is estimated under some suitable conditions.
Our method of proof is based on the test function method.
Submitted August 19, 2015. Published September 2, 2015.
Math Subject Classifications: 35A01, 35R03, 35R11
Key Words: Nonlinear hyperbolic equations; nonlinear parabolic equations;
nonlocal operators; damping; blowing-up solutions.
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Bashir Ahmad Nonlinear Analysis and Applied Mathematics (NAAM) Research Group Department of Mathematics, Faculty of Science King Abdulaziz University, P.O. Box 80203 Jeddah 21589, Saudi Arabia email: bashirahmad_qau@yahoo.com | |
Ahmed Alsaedi Nonlinear Analysis and Applied Mathematics (NAAM) Research Group Department of Mathematics, Faculty of Science King Abdulaziz University, P.O. Box 80203 Jeddah 21589, Saudi Arabia email: aalsaedi@hotmail.com | |
Mokhtar Kirane Laboratoire de Mathématiques, Image et Applications Université de La Rochelle, Avenue M. Crépeau 17042 La Rochelle Cedex, France email: mokhtar.kirane@univ-lr.fr |
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