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Explosive solutions of stochastic nonlinear beam equations with damping
Authors:Fei Liang
Institution:1. Department of Mathematics, Northwest University, Xi An 710069, China;2. Department of Mathematics, Xi An University of Science and Technology, Xi An 710054, China
Abstract:This study considers a class of damped stochastic nonlinear beam equations driven by multiplicative noise. By an appropriate energy inequality, we provide sufficient conditions such that the local solutions of the stochastic equations blow up with a positive probability or are explosive in an L2L2 sense. We also derive estimates of the upper bound of the blow-up time.
Keywords:Energy inequality  Explosive solutions  Stochastic beam equations
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