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IJARM > Volume 6 > On Behaviors of the Energy of Solutions for Some...
On Behaviors of the Energy of Solutions for Some Damped Nonlinear Hyperbolic Equations with <i>p</i>-Laplacian
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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 utt-Δpu+ σ(t)(ut-Δut)+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
Export:
RIS, BibTeX, Text
Distribution:
Open Access

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This work is licensed under a
Creative Commons Attribution 4.0 International License

References:

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