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The Rate at Which the Energy of Solutions for a Class of -Laplacian Wave Equation Decays

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  • Soufiane Mokeddem
  • Khaled Ben Walid Mansour

Abstract

We will investigate the decay estimate of the energy of the global solutions to the p -Laplacian wave equation with dissipation of the form under suitable assumptions on the positive function . For this end we use the multiplier method combined with nonlinear integral inequalities given by Martinez; the proof is based on the construction of a special weight function that depends on the behavior of .

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  • Soufiane Mokeddem & Khaled Ben Walid Mansour, 2015. "The Rate at Which the Energy of Solutions for a Class of -Laplacian Wave Equation Decays," International Journal of Differential Equations, Hindawi, vol. 2015, pages 1-5, August.
    • Handle: RePEc:hin:jnijde:721503
    DOI: 10.1155/2015/721503
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