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Seminar
FIELD Mathematics
DATE February 27 (Tue), 2018
TIME 16:00-18:00
PLACE 1424
SPEAKER Shin, Pilsoo
HOST Cho, Yumi
INSTITUTE 서울대학교
TITLE Application of $\lambda$-maximal function to the parabolic Calder\'on-Zygmund theory
ABSTRACT

In this talk, we obtain a global gradient estimate for quasilinear parabolic equations of divergence form. The nonlinear term behaves as the $p$-Laplacian with respect to the spatial gradient $Du$. we introduce and employ essentially the concept of a $\lambda$-maximal function over intrinsic cylinders in order to derive appropriate $L^q$-estimates for the spatial gradient.

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