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# Existence of solution for a generalized stochastic Cahn-Hilliard equation on convex domains

@inproceedings{Antonopoulou2011ExistenceOS, title={Existence of solution for a generalized stochastic Cahn-Hilliard equation on convex domains}, author={Dimitra Antonopoulou and Georgia D. Karali}, year={2011} }

- Published 2011
DOI:10.3934/dcdsb.2011.16.31

We consider a generalized Stochastic Cahn-Hilliard equation with multiplicative white noise posed on bounded convex domains in Rd, d = 1, 2, 3, with piece-wise smooth boundary, and introduce an additive time dependent white noise term in the chemical potential. Since the Green’s function of the problem is induced by a convolution semigroup, we present the equation in a weak stochastic integral formulation and prove existence of solution when d ≤ 2 for general domains, and for d = 3 for domains… CONTINUE READING