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SUMMARY:Stochastic obstacle problems: variational & non variational settin
gs
DTSTART:20240514T120000Z
DTEND:20240514T140000Z
DTSTAMP:20241003T134300Z
UID:indico-event-281@events.dm.unipi.it
DESCRIPTION:Speakers: Yassine Tahraoui (Scuola Normale Superiore)\n\nObsta
cle problems are free boundary type problems\, well known in the liter
ature of applied mathematics and lead to numerous applications. My aim is
to present some results about the well-posedness and the regularity of
the solution to a "parabolic or hyperbolic" obstacle problem in the pr
esence of multiplicative noise\, studied in [1\, 2]. After showing the
well-posedness of such problems\, we prove Lewy-Stampacchia's inequalit
ies\, which gives an estimate of the reflected measure generated by the si
ngularities caused by the obstacle near the free boundary.[1]I. H. Biswas\
, Y. Tahraoui and G. Vallet: Obstacle problem for a stochastic conservatio
n law and Lewy-Stampacchia inequality. Journal of Mathematical Analysis
and Applications\, 527 (1) 127356 (2023)[2]Y. Tahraoui and G.Vallet: Lewy
-Stampacchia's inequality for a stochastic T-monotone obstacle problem.
Stochastic Partial Differential Equations: Analysis and Computations 10\,
90-125 (2022). \n\nhttps://events.dm.unipi.it/event/281/
URL:https://events.dm.unipi.it/event/281/
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