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• W2964006172 abstract "In this paper, we discuss an initial boundary value problem for the stochastic wave equation involving the nonlinear damping term |u t | q–2 u t and a source term of the type|u| p–2 u. We firstly establish the local existence and uniqueness of solution by the Galerkin approximation method and show that the solution is global for q ≥ p. Secondly, by an appropriate energy inequality, the local solution of the stochastic equations will blow up with positive probability or explosive in energy sense for p > q." @default.
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• W2964006172 date "2013-06-01" @default.
• W2964006172 modified "2023-09-26" @default.
• W2964006172 title "STOCHASTIC WAVE EQUATIONS WITH NONLINEAR DAMPING AND SOURCE TERMS" @default.
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• W2964006172 doi "https://doi.org/10.1142/s0219025713500136" @default.
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