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Information Center for Mathematical Science

세미나

Information Center for Mathematical Science

세미나

한국고등과학원 세미나
Title Some new existence results for parabolic quasilinear equations beyond the duality pairing
Date 2019-01-04
Speaker Karthik Adimurthi(Seoul National University)
Sponsors 2019-01-04
Host KIAS
Place 1424
Abstract In this talk, we shall discuss the notion of very weak solutions for quasilinear parabolic equations and study the existence theory for the homogeneous and nonhomogeneous problem. In both cases, we obtain existence of very weak solutions which requires obtaining improved and in some cases, sharp a priori estimates below the natural exponent that enables us to apply compactness arguments. Some of the estimates we obtain are new even for the heat equation on bounded domains. This is joint work with Sun-Sig Byun and Wontae Kim.