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Seminar
FIELD Math:Analysis
DATE January 28 (Thu), 2021
TIME 14:00-16:30
PLACE Online
SPEAKER Kim, Doyoon
HOST Jeong, In-Jee
INSTITUTE 고려대학교
TITLE Parabolic Sobolev embeddings and parabolic equations with unbounded lower-order coefficients.
ABSTRACT We discuss Sobolev spaces for parabolic equations. In particular, we introduce refined Sobolev embeddings for solutions to parabolic equations in divergence form. Using these results, we prove the unique solvability in Sobolev spaces of parabolic equations when the lower-order coefficients are in appropriate mixed $L_{p,q}$ spaces (not necessarily bounded).
This is joint work with Seungjin Ryu and Kwan Woo.
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