Mathematics – Probability
Scientific paper
2011-04-28
Mathematics
Probability
Scientific paper
In this paper we investigate a nonlinear stochastic partial differential equation (spde in short) perturbed by a space-correlated Gaussian noise in arbitrary dimension $d\geq1$, 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.
Boulanba Lahcen
Mellouk Mohamed
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