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arXiv · 1011.5377

Stochastic nonlinear beam equations driven by compensated Poisson random measures

Zdzisław Brzeźniak·Jiahui Zhu
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Abstract

We consider a type of stochastic nonlinear beam equation driven by L\'{e}vy noise. By using a suitable Lyapunov function and applying the Khasminskii test we show the nonexplosion of the mild solutions. In addition, under some additional assumptions we prove the exponential stability of the solutions.

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Zdzisław Brzeźniak, Jiahui Zhu. 2010-11-24. Stochastic nonlinear beam equations driven by compensated Poisson random measures. https://arxiv.org/abs/1011.5377

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