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

Butakın, Gülistan and Pişkin, Erhan (2024) Existence and blow up of solutions of a viscoelastic m(x)-biharmonic equation with logarithmic source term. Miskolc Mathematical Notes, 25 (2). pp. 629-643. ISSN 1787-2413

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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.

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