On Global Solutions for the Cauchy Problem of a Boussinesq-Type Equation
ABSTRACT AND APPLIED ANALYSIS, 2012 (SCI-Expanded, Scopus)
- 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.