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math.AP2023
Smooth solutions of degenerate linear parabolic equations and the porous medium equation
Albert Chau, Ben Weinkove
We prove existence of smooth solutions to linear degenerate parabolic equations on bounded domains assuming a structure condition of Fichera. We use this to give a proof of a smoot…
math.AP2023
The perfect conductivity problem with arbitrary vanishing orders and non-trivial topology
Morgan Sherman, Ben Weinkove
The perfect conductivity problem concerns optimal bounds for the magnitude of an electric field in the presence of almost touching perfect conductors. This reduces to obtaining gra…