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arXiv · 2609.02197

Paracontrolled approach to the stochastic Cahn-Hilliard equation

Joe Ghafari
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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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Joe Ghafari. 2026-09-02. Paracontrolled approach to the stochastic Cahn-Hilliard equation. https://arxiv.org/abs/2609.02197

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