5 papers
Almost sure CLT for hyperbolic Anderson model with Lévy colored noise
Raluca M. Balan, Hanniel E. Kouamé, William D. Stephenson
In this note, we prove the Almost Sure Central Limit Theorem (ASCLT) for the spatial integral of the solution of the hyperbolic Anderson model driven by the Lévy colored noise int…
Gaussian fluctuations for hyperbolic Anderson model with Lévy colored noise
Raluca M. Balan, William D. Stephenson
In this article, we study the asymptotic behaviour of the spatial integral of the solution to the hyperbolic Anderson model in dimension , driven by the Lévy colored…
Moment estimates for solutions of SPDEs with Lévy colored noise
Raluca M. Balan, Juan J. Jiménez
In this article, we continue the investigations initiated by the first author in Balan (2015) related to the study of stochastic partial differential equations (SPDEs) with Lévy c…
Global well-posedness for hyperbolic SPDEs with non-Lipschitz coefficients driven by space-time Lévy white noise
Raluca M. Balan, Juan J. Jiménez, LluÃs Quer-Sardanyons
In this article, we study the global well-posedness of hyperbolic SPDEs on a bounded domain in , driven by a space-time Lévy white noise, when the drift and diffusio…
Central limit theorem for stochastic nonlinear wave equation with pure-jump Lévy white noise
Raluca M. Balan, Guangqu Zheng
In this paper, we study the random field solution to the stochastic nonlinear wave equation (SNLW) with constant initial conditions and multiplicative noise , where t…