The set of mildly regular boundary points has full caloric measure

Abstract We introduce a new kind of regularity in the Dirichlet problem for the heat equation, called mild regularity. The mildly regular boundary points include all types of regular points previously considered. Just as regular boundary points have barriers associated with them, the mildly regular...

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Bibliographic Details
Main Author: Neil A. Watson
Format: Article
Language:English
Published: Wiley 2023-12-01
Series:Transactions of the London Mathematical Society
Online Access:https://doi.org/10.1112/tlm3.12052