Nonexistence of global solutions of some nonlinear space-nonlocal evolution equations on the Heisenberg group

This article presents necessary conditions for the existence of weak solutions of the following space-nonlocal evolution equations on $\mathbb{H}\times(0, +\infty)$, where $\mathbb{H}$ is the Heisenberg group: $$\displaylines{ \frac{\partial^2 u }{\partial t^2} + (- \Delta_{\mathbb{H}})^{\alpha...

Full description

Bibliographic Details
Main Authors: Bashir Ahmad, Ahmed Alsaedi, Mokhtar Kirane
Format: Article
Language:English
Published: Texas State University 2015-09-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2015/227/abstr.html