Paracontrolled approach to the stochastic Cahn-Hilliard equation
Joe Ghafari
Abstract
We prove the existence and uniqueness of a local-in-time solution to the stochastic Cahn-Hilliard equation in space dimensions 1, 2, 3, 4 and 5. Our method relies on the Da Prato-Debussche trick for d=4 and paracontrolled distributions for d=5.
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