NONEXISTENCE OF GLOBAL SOLUTIONS OF SOME NONLINEAR ULTRA-PARABOLIC EQUATIONS ON THE HEISENBERG GROUP
LAMAIRIA ABD ELHAKIM *
Department of Mathematics and Informatics, LAMIS Laboratory, University of Tebessa. Algeria.
HAOUAM KAMEL
Department of Mathematics and Informatics, LAMIS Laboratory, University of Tebessa. Algeria.
*Author to whom correspondence should be addressed.
Abstract
This article provides sufficient conditions for non existence Global weak solutions for non-local and non-linear equivalent equations on HN × (0,∞) × (0,∞), where HN is the Heisenberg group. Our method of proof relies on a suitable choice of a test function and the weak formulation approach of the sought for solutions.
Keywords: Timoshenko system, second sound well-posedness, exponential stability, distributed delay.