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The hyperbolic Anderson model: moment estimates of the Malliavin derivatives and applications

In this article, we study the hyperbolic Anderson model driven by a space-time colored Gaussian homogeneous noise with spatial dimension [Formula: see text] . Under mild assumptions, we provide [Formula: see text] -estimates of the iterated Malliavin derivative of the solution in terms of the fundam...

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Detalles Bibliográficos
Autores principales: Balan, Raluca M., Nualart, David, Quer-Sardanyons, Lluís, Zheng, Guangqu
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer US 2022
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9525444/
https://www.ncbi.nlm.nih.gov/pubmed/36196215
http://dx.doi.org/10.1007/s40072-021-00227-5