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

Soufiane Mokeddem and Khaled Ben Walid Mansour

International Journal of Differential Equations, 2015, vol. 2015, 1-5

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 .

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijde:721503

DOI: 10.1155/2015/721503

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