15 citations · 23 across the 23 of their papers we have counts for
26 papers
Analysis of an exponential integrator for stochastic PDEs driven by Riesz noise
Charles-Edouard Bréhier, David Cohen, Lluís Quer-Sardanyons +1
We present and study an explicit exponential integrator for parabolic SPDEs in any dimension driven by a Gaussian noise which is white in time and with spatial correlation given by…
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…
Convergence in law for quasi-linear SPDEs
Maria Jolis, Salvador Ortiz-Latorre, Lluís Quer-Sardanyons
We consider the quasi-linear stochastic wave and heat equations in with and , respectively, and perturbed by an additive Gaussian noise whi…
The hyperbolic Anderson model: Moment estimates of the Malliavin derivatives and applications
Raluca M. Balan, David Nualart, Lluís Quer-Sardanyons +1
In this article, we study the hyperbolic Anderson model driven by a space-time \emph{colored} Gaussian homogeneous noise with spatial dimension . Under mild assumptions, we…
SPDEs with linear multiplicative fractional noise: continuity in law with respect to the Hurst index
Luca M. Giordano, Maria Jolis, Lluís Quer-Sardanyons
In this article, we consider the one-dimensional stochastic wave and heat equations driven by a linear multiplicative Gaussian noise which is white in time and behaves in space lik…
Weak approximation of the complex Brownian sheet from a Lévy sheet and applications to SPDEs
Xavier Bardina, Juan Pablo Márquez, Lluís Quer-Sardanyons
We consider a Lévy process in the plane and we use it to construct a family of complex-valued random fields that we show to converge in law, in the space of continuous functions, t…