Abstract and Applied Analysis

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

Hatice Taskesen, Necat Polat, and Abdulkadir Ertaş

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Abstract

We will give conditions which will guarantee the existence of global weak solutions of the Boussinesq-type equation with power-type nonlinearity γ | u | 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.

Article information

Source
Abstr. Appl. Anal., Volume 2012, Special Issue (2012), Article ID 535031, 10 pages.

Dates
First available in Project Euclid: 5 April 2013

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1365174054

Digital Object Identifier
doi:10.1155/2012/535031

Mathematical Reviews number (MathSciNet)
MR2947731

Zentralblatt MATH identifier
1246.35184

Citation

Taskesen, Hatice; Polat, Necat; Ertaş, Abdulkadir. On Global Solutions for the Cauchy Problem of a Boussinesq-Type Equation. Abstr. Appl. Anal. 2012, Special Issue (2012), Article ID 535031, 10 pages. doi:10.1155/2012/535031. https://projecteuclid.org/euclid.aaa/1365174054


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