Viscoelastic Wave Equation with Logarithmic Nonlinearities in ℝn

Authors

  • Keltoum Bouhali 1Universite les freres Mentouri, Faculte des sciences exactes, Departement de Mathematiques, Constantine 25000, Algeria
  • Fateh Ellaggoune University 8 Mai 1945-Guelma, Department of Mathematics, Guelma, Algeria

DOI:

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

Keywords:

Lyapunov function;viscoelastic;density;decay rate;weighted spaces

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.

Downloads

Published

2018-08-16

Abstract View

  • 44814

Pdf View

  • 3618

Issue

Vol. 30 No. 1 (2017)

Section

Articles

How to Cite

Viscoelastic Wave Equation with Logarithmic Nonlinearities in ℝn. (2018). Journal of Partial Differential Equations, 30(1), 47-63. https://doi.org/10.4208/jpde.v30.n1.4
Crossref
Scopus
Google Scholar
Europe PMC