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

Hatice Taskesen, Necat Polat and Abdulkadir Ertaş

Abstract and Applied Analysis, 2012, vol. 2012, 1-10

Abstract:

We will give conditions which will guarantee the existence of global weak solutions of the Boussinesq-type equation with power-type nonlinearity ð ›¾ | ð ‘¢ | ð ‘ 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.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:535031

DOI: 10.1155/2012/535031

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