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 This invitation is valid as a ticket for the IST Shuttle from and to Heiligenstadt Station. Please find a schedule of the IST Shuttle on our webpage (note that the IST Shuttle times are highlighted in dark green): http://ist.ac.at/fileadmin/user_upload/pdfs/IST_shuttle_bus.pdf The IST Shuttle bus is marked IST Shuttle (#242) and has the Institute Logo printed on the side. Institute of Science and Technology Austria | Am Campus 1 | 3400 Klosterneuburg www.ist.ac.at
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