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• W3136554147 startingPage "1061" @default.
• W3136554147 abstract "Let $E subset mathbb R^{n+1}$ be a parabolic uniformly rectifiable set. We prove that every bounded solution $u$ to $$partial_tu- Delta u=0, quad text{in} quad mathbb R^{n+1}setminus E$$ satisfies a Carleson measure estimate condition. An important technical novelty of our work is that we develop a corona domain approximation scheme for $E$ in terms of regular Lip(1/2,1) graph domains. This approximation scheme has an analogous elliptic version which is an improvement of the known results in that setting." @default.
• W3136554147 created "2021-03-29" @default.
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• W3136554147 date "2023-06-15" @default.
• W3136554147 modified "2023-09-26" @default.
• W3136554147 title "Carleson measure estimates for caloric functions and parabolic uniformly rectifiable sets" @default.
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• W3136554147 doi "https://doi.org/10.2140/apde.2023.16.1061" @default.
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