Asymptotic Behaviour of Solutions for $p$-Laplacian Wave Equation with $m$-Laplacian Dissipation

Soufiane Mokeddem; Khaled Ben Walid Mansour

doi:10.4171/zaa/1510

JournalszaaVol. 33, No. 3pp. 259–269

Asymptotic Behaviour of Solutions for $p$ -Laplacian Wave Equation with $m$ -Laplacian Dissipation

Soufiane Mokeddem
Djillali Liabes University, Sidi Bel-Abbes, Algeria
Khaled Ben Walid Mansour
Djillali Liabes University, Sidi Bel-Abbes, Algeria

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Abstract

In this paper we study decay properties of solutions to the $p$ -Laplacian wave equation with $m$ -Laplacian weak dissipation and source term. Meanwhile, we investigate the decay estimate of the energy of the global solutions to this problem by using a different inequalities.

Cite this article

Soufiane Mokeddem, Khaled Ben Walid Mansour, Asymptotic Behaviour of Solutions for $p$ -Laplacian Wave Equation with $m$ -Laplacian Dissipation. Z. Anal. Anwend. 33 (2014), no. 3, pp. 259–269

DOI 10.4171/ZAA/1510