Nonexistence of Solutions of Some Non-Linear Non-Local Evolution Systems on the Heisenberg Group-Reference-Cited by-同舟云学术

Nonexistence of Solutions of Some Non-Linear Non-Local Evolution Systems on the Heisenberg Group

Published:2015-12-01 Issue:6 Volume:18 Page:1336-1349
ISSN:1314-2224
Container-title:Fractional Calculus and Applied Analysis
language:en
Short-container-title:

Author:

Boutefnouchet Mahmoud¹,Kirane Mokhtar²

Affiliation:

1. College of Arts and Sciences, Dept. of Mathematics, Statistics and Physics University of Qatar P.O. Box 2713, Doha, QATAR

2. Université de La Rochelle Laboratoire de Matématiques MIA, Pôle Sciences et Technologies Avenue Michel Céepeau 17042 La Rochelle Cedex 1, FRANCE

Abstract

Abstract We present non-existence results for systems of non-local in space hyperbolic equations, for systems of non-local in space parabolic equations, and for systems of non-local in space hyperbolic equations with linear damping terms. Our method of proof is based on the test function method with a help of a convexity inequality recently proved in [2].

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Analysis

Link

https://www.degruyter.com/document/doi/10.1515/fca-2015-0077/pdf

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Nonexistence of solutions to higher order evolution inequalities with nonlocal source term on Riemannian manifolds;Complex Variables and Elliptic Equations;2022-04-20

2. Nonexistence of global solutions of systems of time fractional differential equations posed on the Heisenberg group;Mathematical Methods in the Applied Sciences;2022-03-22

3. Nonexistence Results for the Hyperbolic-Type Equations on Graded Lie Groups;Bulletin of the Malaysian Mathematical Sciences Society;2020-03-03