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

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  • Hatice Taskesen
  • Necat Polat
  • Abdulkadir Ertaş

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.

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Handle: RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:535031
DOI: 10.1155/2012/535031
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