On Global Solutions for the Cauchy Problem of a Boussinesq-Type Equation

Taskesen H., Polat N., Ertas A.

ABSTRACT AND APPLIED ANALYSIS, 2012 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume:
  • Publication Date: 2012
  • Doi Number: 10.1155/2012/535031
  • Journal Name: ABSTRACT AND APPLIED ANALYSIS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Van Yüzüncü Yıl University Affiliated: No

Abstract

We will give conditions which will guarantee the existence of global weak solutions of the Boussinesq-type equation with power-type nonlinearity gamma vertical bar u vertical bar(p) and supercritical initial energy. By defining new functionals and using potential well method, we readdressed the initial value problem of the Boussinesq-type equation for the supercritical initial energy case.