Improved regularity for the stochastic fast diffusion equation
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A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
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en
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7
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Electronic Communications in Probability, Volume 29, pp. 1–7
Abstract
We prove that the solution to the singular-degenerate stochastic fast-diffusion equation with parameter $m\in (0,1)$, 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 $W^{1,m+1}_0$ for initial data in $L^{2}$.Description
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Ciotir, I, Goreac, D & Tölle, J M 2024, 'Improved regularity for the stochastic fast diffusion equation', Electronic Communications in Probability, vol. 29, 5, pp. 1–7. < http://10.1214/24-ECP575 >