BLOW – UP SOLUTION FOR A STOCHASTIC VISCOELASTIC EQUATION WITH LOGARITHM NONLINEARITY DATA
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Abstract
In this paper, we consider a stochastic wave equation in a bounded domain, characterized by the simultaneous presence of a viscoelastic term, a Kirchhoff type term, and a logarithmic nonlinearity source. Our main objective is to derive sufficient conditions on the initial data and the energy functional that lead to a finite-time blow-up result.