Blow-up Results for Viscoelastic Damped Wave Models with Friction and Nonlinear Memory
DOI:
https://doi.org/10.5890/DNC.2024.12.005Abstract
This paper is devoted to the study of Cauchy problem for viscoelastic damped wave models with nonlinear memory on the right-hand side. The main goal is to prove blow-up results for local (in time) energy solutions. The model that we consider is parabolic-like from the point of view of energy decay estimates of the corresponding linear Cauchy problem with a vanishing right-hand side. For this reason, we apply the test function method to prove our results.References
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