BLOW – UP SOLUTION FOR A STOCHASTIC VISCOELASTIC EQUATION WITH LOGARITHM NONLINEARITY DATA

Nguyen Thanh Long1,2, Nguyen Xuan Viet Trung1,2,3,
1 FPT University, Vietnam
2 FPT PolySchool Ho Chi Minh, Vietnam
3 Ho Chi Minh University of Education, Vietnam

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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.

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