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홈 > 학술정보 >학술행사 > 세미나
한국고등과학원 세미나

Title
Some new existence results for parabolic quasilinear equations beyond the duality pairing
Speaker
Karthik Adimurthi   (Seoul National University )
Date
2019-01-04 16:00:00
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.
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