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math.AP2023
Higher order interpolative geometries and gradient regularity in evolutionary obstacle problems
Sunghan Kim, Kaj Nyström
We prove new optimal regularity results for obstacle problems involving evolutionary -Laplace type operators in the degenerate regime . Our main results include…
math.AP2023★ 1 cited
Solvability of the Dirichlet problem for the heat equation is equivalent to parabolic uniform rectifiability in the case of a parabolic Lipschitz graph
Simon Bortz, Steven Hofmann, José María Martell +1
We prove that if a parabolic Lipschitz (i.e., Lip(1,1/2)) graph domain has the property that its caloric measure is a parabolic weight with respect to surface measure (w…