SPDEs with non-smooth coefficients in divergence form

Invitation to Seminar Talk
SPDEs with non-smooth coefficients in
divergence form
Máté Gerencsér
University of Edinburgh
Host: Jan Maas
Stochastic partial differential equations with critical noise with respect to the
parabolic scaling are discussed, under minimal assumptions - boundedness,
measurability, and ellipticity - on the coefficients. We consider adaptations of
several parts of the De Giorgi-Nash-Moser theory to the stochastic setting and
obtain global and local
estimates, Harnack inequality, and a stochastic
continuity result. The question of Hölder continuity is still open, the issues with the
classical arguments shall be briefly discussed.
Thursday, April 14, 2016, 5:15pm
Mondi 1, Central Building, ground floor
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