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math.AP2021
A weighted Sobolev regularity theory of the parabolic equations with measurable coefficients on conic domains in
Kyeonghun Kim, Kijung Lee, Jinsol Seo
We establish existence, uniqueness, and arbitrary order Sobolev regularity results for the second order parabolic equations with measurable coefficients defined on the conic domain…
math.AP2020
A refined Green's function estimate of the time measurable parabolic operators with conic domains
Kyeong-Hun Kim, Kijung Lee, Jinsol Seo
We present a refined Green's function estimate of the time measurable parabolic operators on conic domains that involves mixed weights consisting of appropriate powers of the dista…