MMN-4843

Existence and blow up of solutions of a viscoelastic m(x)-biharmonic equation with logarithmic source term

Gülistan Butakın; Erhan Pişkin;

Abstract

In this paper, we are concerned with a logarithmic nonlinear viscoelastic m(x)-biharmonic equation. Firstly, we proved the local existence of solutions by using the Faedo-Galerkin method. Later, we proved the blow up of solutions by using the concavity method.


Vol. 25 (2024), No. 2, pp. 629-643
DOI: https://doi.org/10.18514/MMN.2024.4843


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