First-order heat content asymptotics on RCD(K,N) spaces
Finna-arvio
First-order heat content asymptotics on RCD(K,N) spaces
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(Jyväskylän yliopisto - JYX)
In this paper, we prove first-order asymptotics on a bounded open set of the heat content when the ambient space is an RCD(K, N) space, under a regularity condition for the boundary that we call measured interior geodesic condition of size ϵ. We carefully study such a condition, relating it to the properties of the disintegration of the signed distance function from ∂Ω studied in Cavalletti and Mondino (2020).
Tallennettuna:
Kieli |
englanti |
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Sarja | Nonlinear Analysis: Theory, Methods and Applications |
Aiheet | |
ISSN |
0362-546X |