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PRODID:-//talks.bham.ac.uk//v3//EN
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CATEGORIES:Analysis seminar
SUMMARY:Stochastic heat equation with distributional drift
- Khoa Le\, University of Leeds
DTSTART:20221010T140000Z
DTEND:20221010T150000Z
UID:TALK4998AT
URL:/talk/index/4998
DESCRIPTION:We study stochastic reaction–diffusion equation wi
th a distributional drift. We obtain existence an
d uniqueness of a strong solution whenever the dri
ft belongs to a suitable Besov space. This class i
ncludes equations with drift being measures\, in p
articular\, Dirac delta masses which corresponds t
o the skewed stochastic heat equation. Our result
s extend the work of Bass and Chen (2001) to the f
ramework of stochastic partial differential equati
ons and generalize the results of Gyöngy and Pardo
ux (1993) to distributional drifts. To establish t
hese results\, we exploit the regularization effec
t\nof the white noise through a new strategy based
on the stochastic sewing lemma\nintroduced in Lê
(2020). This talk is based on the joint work with
Siva Athreya\, Oleg Butkovsky and Leonid Mytnik\,
arXiv:2011.13498.
LOCATION:WATN-LT C (G24)
CONTACT:Yuzhao Wang
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