FILOMAT, vol.28, no.5, pp.1073-1079, 2014 (SCI-Expanded)
Article / Article
Science Citation Index Expanded (SCI-EXPANDED), Scopus
Klein-Gordon equation, Potential well, Global existence, High energy initial data, TIME BLOW-UP, CAUCHY-PROBLEM, INSTABILITY
Van Yüzüncü Yıl University Affiliated:
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.