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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 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.

Suggested Citation

  • Hatice Taskesen & Necat Polat & Abdulkadir Ertaş, 2012. "On Global Solutions for the Cauchy Problem of a Boussinesq-Type Equation," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-10, July.
    • Handle: RePEc:hin:jnlaaa:535031
    DOI: 10.1155/2012/535031
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