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On a high-dimensional nonlinear stochastic partial differential equation

Abstract : In this paper we investigate a nonlinear stochastic partial differential equation perturbed by a space-correlated Gaussian noise in arbitrary dimension d>1, with a non-Lipschitz coefficient noisy term. The equation studied coincides in one dimension with the stochastic Burgers equation. Existence of a weak solution is established through an approximation procedure.
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https://hal-univ-paris.archives-ouvertes.fr/hal-01437948
Contributor : Mohamed Mellouk <>
Submitted on : Tuesday, January 17, 2017 - 2:29:37 PM
Last modification on : Thursday, October 1, 2020 - 9:46:45 AM

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Mohamed Mellouk, Lahcen Boulanba. On a high-dimensional nonlinear stochastic partial differential equation. Stochastics and Stochastics Reports, Informa UK (Taylor & Francis), 2014, Stochastics 86 (2014), no. 6, (no. 6,), ⟨10.1080/17442508.2014.895496⟩. ⟨hal-01437948⟩

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