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math.PR2025
Global well-posedness for hyperbolic SPDEs with non-Lipschitz coefficients driven by space-time Lévy white noise
Raluca M. Balan, Juan J. Jiménez, Lluís 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 diffusion…
math.PR2025
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 th…
math.PR2025
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 co…