Stochastic nonlinear beam equations driven by compensated Poisson random measures

Zdzislaw Brzezniak, Jiahui Zhu

Research output: Working paperPreprint


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.
Original languageEnglish
Number of pages56
Publication statusPublished - Nov 2010

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