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Paracontrolled approach to the stochastic Cahn-Hilliard equation
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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BibTeX
@misc{ghafari2026paracontrolled,
title = {{Paracontrolled approach to the stochastic Cahn-Hilliard equation}},
author = {Joe Ghafari},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.02197},
eprint = {2609.02197},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.02197},
}
RIS
TY - UNPB
TI - Paracontrolled approach to the stochastic Cahn-Hilliard equation
AU - Joe Ghafari
PY - 2026
DA - 2026/09/02
PB - arXiv
DO - 10.48550/arxiv.2609.02197
UR - https://arxiv.org/abs/2609.02197
AB - 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.
ER -