Title : ( Growth and blow-up of solutions for a viscoelastic wave equation with logarithmic source, fractional conditions, and non-linear boundary feedback )
Authors: Abdelbaki Choucha , Salah Boulaaras , Mohamed Haiour , Mohammad Shahrouzi , Rashid Jan , Mohamed Abdalla ,
Full TextAbstract
This work is concerned with a nonlinear viscoelastic wave equation with logarithmic nonlinearity. By supposing the nonlinear time-varying delay acting on the boundary feedback coupling by the acoustic and fractional boundary conditions. Firstly, we prove the exponential growth of solutions with negative initial-energy under suitable hypotheses and, in general, of the kernel. Then, the blow-up of solutions is showed under the same assumptions. This result extends and complements some previous results.
Keywords
, Exponential growth · Blow up · Fractional damping · Time, varying delay · Viscoelasticity · Logarithmic nonlinearity · Nonlinear equations
@article{paperid:1102557,
author = {عبدالباکی چوچا and Boulaaras and محمد هایور and Shahrouzi, Mohammad and رشید جان and محمد عبدالله},
title = {Growth and blow-up of solutions for a viscoelastic wave equation with logarithmic source, fractional conditions, and non-linear boundary feedback},
journal = {Journal of Pseudo-Differential Operators and Applications},
year = {2025},
volume = {16},
number = {2},
month = {March},
issn = {1662-9981},
keywords = {Exponential growth · Blow up · Fractional damping · Time-varying delay · Viscoelasticity · Logarithmic nonlinearity · Nonlinear equations},
}
%0 Journal Article
%T Growth and blow-up of solutions for a viscoelastic wave equation with logarithmic source, fractional conditions, and non-linear boundary feedback
%A عبدالباکی چوچا
%A Boulaaras
%A محمد هایور
%A Shahrouzi, Mohammad
%A رشید جان
%A محمد عبدالله
%J Journal of Pseudo-Differential Operators and Applications
%@ 1662-9981
%D 2025
