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VERSION:2.0
PRODID:-//Memento EPFL//
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SUMMARY:A priori bounds for stochastic porous media equations
DTSTART:20251112T150000
DTEND:20251112T170000
DTSTAMP:20260916T080901Z
UID:986e4634ebc4cdd520cefa7f35963d1995bb3bf7220be8640f748e45
CATEGORIES:Conferences - Seminars
DESCRIPTION:Markus Tempelmayr\nWe prove a priori bounds for solutions of s
 tochastic porous media equations in their natural $L^1$- based regularity 
 class\, in a regime where the equation is both singular and degenerate. Fo
 r simplicity we consider only a mildly singular regime\, which allows to p
 rove modelledness of the solution with respect to the solution of the corr
 esponding linear stochastic heat equation. The proof relies on the kinetic
  formulation of the equation and a renormalized energy inequality. A caref
 ul analysis allows to balance the degeneracy of the diffusion coefficient 
 against sufficiently strong damping of the multiplicative noise for small 
 values of the solution.
LOCATION:Bernoulli Center
STATUS:CONFIRMED
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