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On the heat content for the Poisson heat kernel over convex bodies

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Abstract In this paper, the small time asymptotic behavior of the heat content related to the Poisson heat kernel over convex bodies of the euclidean space R d , d… Click to show full abstract

Abstract In this paper, the small time asymptotic behavior of the heat content related to the Poisson heat kernel over convex bodies of the euclidean space R d , d ≥ 2 , shall be investigated. A third term order expansion is provided by exploiting the interplay between convex sets and functions.

Keywords: kernel convex; heat content; heat; heat kernel; poisson heat; convex bodies

Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2021

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