Heat content asymptotics with singular initial temperature distributions

M van den Berg; P Gilkey; R Seeley

doi:10.1016/j.jfa.2008.03.002

Heat content asymptotics with singular initial temperature distributions

M van den Berg
, P Gilkey
, R Seeley

Research output: Contribution to journal › Article (Academic Journal) › peer-review

12 Citations (Scopus)

Abstract

We study the heat content asymptotics with either Dirichlet or Robin boundary conditions where the initial temperature exhibits radial blowup near the boundary. We show that there is a complete small-time asymptotic expansion and give explicit geometrical formulas for the first few terms in the expansion.

Translated title of the contribution	Heat content asymptotics with singular initial temperature distributions
Original language	English
Pages (from-to)	3093 - 3122
Number of pages	30
Journal	Journal of Functional Analysis
Volume	254, issue 12
DOIs	https://doi.org/10.1016/j.jfa.2008.03.002
Publication status	Published - Jun 2008

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Publisher: Elsevier

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10.1016/j.jfa.2008.03.002

http://www.sciencedirect.com/science/article/pii/S002212360800092X

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@article{b17a16ee9427468687a6cc5af6d5fc94,

title = "Heat content asymptotics with singular initial temperature distributions",

abstract = "We study the heat content asymptotics with either Dirichlet or Robin boundary conditions where the initial temperature exhibits radial blowup near the boundary. We show that there is a complete small-time asymptotic expansion and give explicit geometrical formulas for the first few terms in the expansion.",

author = "\{van den Berg\}, M and P Gilkey and R Seeley",

note = "Publisher: Elsevier",

year = "2008",

month = jun,

doi = "10.1016/j.jfa.2008.03.002",

language = "English",

volume = "254, issue 12",

pages = "3093 -- 3122",

journal = "Journal of Functional Analysis",

issn = "1096-0783",

publisher = "Academic Press Inc.",

}

TY - JOUR

T1 - Heat content asymptotics with singular initial temperature distributions

AU - van den Berg, M

AU - Gilkey, P

AU - Seeley, R

N1 - Publisher: Elsevier

PY - 2008/6

Y1 - 2008/6

N2 - We study the heat content asymptotics with either Dirichlet or Robin boundary conditions where the initial temperature exhibits radial blowup near the boundary. We show that there is a complete small-time asymptotic expansion and give explicit geometrical formulas for the first few terms in the expansion.

AB - We study the heat content asymptotics with either Dirichlet or Robin boundary conditions where the initial temperature exhibits radial blowup near the boundary. We show that there is a complete small-time asymptotic expansion and give explicit geometrical formulas for the first few terms in the expansion.

U2 - 10.1016/j.jfa.2008.03.002

DO - 10.1016/j.jfa.2008.03.002

M3 - Article (Academic Journal)

SN - 1096-0783

VL - 254, issue 12

SP - 3093

EP - 3122

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

ER -

Heat content asymptotics with singular initial temperature distributions

Abstract

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