6 papers
Spatial covariance of KPZ from flat initial profile
Le Chen, Juan J. Jiménez
We study the fixed-time spatial covariance of the KPZ equation with flat initial profile. Using Malliavin calculus and a Clark-Ocone representation, we show that as ,…
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…
Pathwise regularity of solutions for a class of elliptic SPDEs with symmetric Lévy noise
Juan J. Jiménez
In this article, we investigate the existence and uniqueness of random-field solutions to the elliptic SPDE on a bounded domain with Dirichlet boundary co…
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…
Fully distributed and resilient source seeking for robot swarms
Jesus Bautista, Antonio Acuaviva, Jose Hinojosa +3
Existing source-seeking algorithms for robot swarms typically require either direct gradient measurements or rigid geometric formations, limiting their flexibility and resilience t…
Series expansions for SPDEs with symmetric -stable Lévy noise
Raluca M. Balan, Juan J. Jiménez
In this article, we examine a stochastic partial differential equation (SPDE) driven by a symmetric -stable (SS) Lévy noise, that is multiplied by a linear function …