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- W2111026311 abstract "We investigate the asymptotic behaviour of the heat content as the time t→ 0 for an s-adic von Koch snowflake generated by a square. We show that the heat content satisfies a functional equation which, after appropriate transformations, takes the form of an inhomogeneous renewal equation. We obtain the structure of the solution of this equation in the arithmetic case up to an exponentially small remainder in t. <!-ID=Mathematics Subject Classification (2000): 35K05, 60J65, 28A80--> <!-ID=Key words: Heat equation – Arithmetic – Snowflake-->" @default.
- W2111026311 created "2016-06-24" @default.
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- W2111026311 date "2000-09-01" @default.
- W2111026311 modified "2023-09-27" @default.
- W2111026311 title "Heat equation on the arithmetic von Koch snowflake" @default.
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- W2111026311 doi "https://doi.org/10.1007/pl00008740" @default.
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