Global Existence and Nonexistence of Solutions for a Klein-Gordon Equation with Exponential Type Nonlinear Term

Taşkesen H.

International Conference on Mathematics and Mathematics Education, Elazığ, Turkey, 12 - 14 May 2016, pp.105

  • Publication Type: Conference Paper / Summary Text
  • City: Elazığ
  • Country: Turkey
  • Page Numbers: pp.105


In this paper we consider the global existence and nonexistence of solutions for
a Klein-Gordon equation with exponential type source term in a bounded domain. In the
framework of potential well, we define a functional, and by sign invariance of this functional
we prove the global existence of weak solutions in the case of high initial energy. Moreover,
we extend a finite time blow up result given in the literature.