Nonexistence of Global Solutions of Some Nonlinear Ultra-Parabolic Equations on the Heisenberg Group

Authors

  • 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

DOI:

https://doi.org/10.9734/bpi/tpmcs/v7/2386E

Keywords:

Timoshenko system, second sound well-posedness, exponential stability, distributed delay

Abstract

This chapter provides sufficient conditions for non existence Global weak solutions for non-local and non-linear equivalent equations on HN × (0,\(\infty\)) × (0,\(\infty\)), 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.

Published

2021-02-12

How to Cite

Lamairia Abd Elhakim, & Haouam Kamel. (2021). Nonexistence of Global Solutions of Some Nonlinear Ultra-Parabolic Equations on the Heisenberg Group. Theory and Practice of Mathematics and Computer Science Vol. 7, 109–124. https://doi.org/10.9734/bpi/tpmcs/v7/2386E

Issue

Theory and Practice of Mathematics and Computer Science Vol. 7

Section

Chapters