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

Bashir Ahmad, Ahmed Alsaedi, Mokhtar Kirane

Research output: Contribution to journalArticlepeer-review

11 Scopus citations

Abstract

This article presents necessary conditions for the existence of weak solutions of the following space-nonlocal evolution equations on H × (0,+∞), where H is the Heisenberg group: (Formula Presented) p ∈ ℝ, p > 1, m ∈ ℕ. Moreover, the life span for each equation is estimated under some suitable conditions. Our method of proof is based on the test function method.

Original languageBritish English
Article number227
JournalElectronic Journal of Differential Equations
Volume2015
StatePublished - 2 Sep 2015

Keywords

  • Blowing-up solutions
  • Damping
  • Nonlinear hyperbolic equations
  • Nonlinear parabolic equations
  • Nonlocal operators

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