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

Taskesen, Hatice; Polat, Necat; Ertas, Abdulkadir

doi:10.1155/2012/535031

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, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası:
Basım Tarihi: 2012
Doi Numarası: 10.1155/2012/535031
Dergi Adı: ABSTRACT AND APPLIED ANALYSIS
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Van Yüzüncü Yıl Üniversitesi Adresli: Hayır

Özet

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.