On Behaviors of the Energy of Solutions for Some Damped Nonlinear Hyperbolic Equations with p-Laplacian

Mokeddem, Soufiane

doi:10.18052/www.scipress.com/IJARM.6.13

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On Behaviors of the Energy of Solutions for Some Damped Nonlinear Hyperbolic Equations with p-Laplacian

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Abstract:

In this paper we are concerned with nonlinear damped hyperbolic equation with p-Laplace of the form u_tt-Δ_pu+ σ(t)(u_t-Δu_t)+w|u|^m-2u = |u|^r-2u. Used the multiplier techniques combined with a nonlinear integral inequalities given by Martinez we established a decay rate estimate for the energy.

Info:

Periodical:

International Journal of Advanced Research in Mathematics (Volume 6)

Pages:

13-20

DOI:

https://doi.org/10.18052/www.scipress.com/IJARM.6.13

Citation:

S. Mokeddem, "On Behaviors of the Energy of Solutions for Some Damped Nonlinear Hyperbolic Equations with p-Laplacian", International Journal of Advanced Research in Mathematics, Vol. 6, pp. 13-20, 2016

Online since:

September 2016

Authors:

Soufiane Mokeddem

Keywords:

Decay Estimate of Energy, Hyperbolic Equations with p-Laplace

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References:

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