Abstract
We prove that the solution to the singular-degenerate stochastic fast-diffusion equation with parameter , with zero Dirichlet boundary conditions on a bounded domain in any spatial dimension, and driven by linear multiplicative Wiener noise, exhibits improved regularity in the Sobolev space for initial data in .
Funding Statement
IC was partially supported by l’Agence Nationale de la Recherche (ANR), project ANR COSS number ANR-22-CE40-0010. DG has been partially supported by the NSF of Shandong Province (NO. ZR202306020015), National Key R and D Program of China (NO. 2018YFA0703900), and the NSF of P.R. China (NO. 12031009). The research of JMT was partially supported by the seed funding grant UNA Random of the Una Europa alliance.
Citation
Ioana Ciotir. Dan Goreac. Jonas M. Tölle. "Improved regularity for the stochastic fast diffusion equation." Electron. Commun. Probab. 29 1 - 7, 2024. https://doi.org/10.1214/24-ECP575
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