Convergence in (2m)-th mean for perturbed stochastic integrodifferential equations
Svetlana Janković, Miljana Jovanović (2000)
Publications de l'Institut Mathématique
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Displaying similar documents to “Stochastic perturbation of the Allen-Cahn equation.”
Convergence in (2m)-th mean for perturbed stochastic integrodifferential equations
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We study strictly parabolic stochastic partial differential equations on , ≥ 1, driven by a Gaussian noise white in time and coloured in space. Assuming that the coefficients of the differential operator are random, we give sufficient conditions on the correlation of the noise ensuring Hölder continuity for the trajectories of the solution of the equation. For self-adjoint operators with deterministic coefficients, the mild and weak formulation of the equation are...