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Viscoelastic Wave Equation with Logarithmic Nonlinearities in ℝ<sup>n</sup>

Viscoelastic Wave Equation with Logarithmic Nonlinearities in ℝ<sup>n</sup>
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Year:    2017

Author:    Keltoum Bouhali, Fateh Ellaggoune

Journal of Partial Differential Equations, Vol. 30 (2017), Iss. 1 : pp. 47–63

Abstract

In any spaces dimension, we use weighted spaces to establish a general decay rate of solution of viscoelastic wave equation with logarithmic nonlinearities. Furthermore, we establish, under convenient hypotheses on g and the initial data, the existence of weak solution associated to the equation.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/jpde.v30.n1.4

Journal of Partial Differential Equations, Vol. 30 (2017), Iss. 1 : pp. 47–63

Published online:    2017-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    17

Keywords:    Lyapunov function

Author Details

Keltoum Bouhali

Fateh Ellaggoune

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