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, issue 1

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.

Date: 2012
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https://doi.org/10.1155/2012/535031

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:535031

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