Abstract: In this talk we discuss a priori bounds for solutions of stochastic porous media equations, in a regime where the equation is both singular and degenerate. For simplicity we consider only a mildly singular regime, which allows to prove modelledness of the solution with respect to the solution of the corresponding linear stochastic heat equation. If time permits we discuss some ingredients of the proof, including the kinetic formulation of the equation and a renormalized energy inequality.
A priori bounds for stochastic porous media equations
26.01.2026 17:00 - 18:00
Organiser:
M. Beiglböck, N. Berestycki, L. Erdös, J. Maas, F. Toninelli, E. Schertzer
Location:
EI 5 Hochenegg HS, TU Wien, Gußhausstraße 25-25a, 1040 Wien