On the Existence of Global Solutions for a Nonlinear Klein-Gordon Equation


Polat N., Taşkesen H.

FILOMAT, cilt.28, ss.1073-1079, 2014 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 28 Konu: 5
  • Basım Tarihi: 2014
  • Doi Numarası: 10.2298/fil1405073p
  • Dergi Adı: FILOMAT
  • Sayfa Sayıları: ss.1073-1079

Özet

The aim of this work is to study the global existence of solutions for the Cauchy problem of a Klein-Gordon equation with high energy initial data. The proof relies on constructing a new functional, which includes both the initial displacement and the initial velocity: with sign preserving property of the new functional we show the existence of global weak solutions.