Heat content asymptotics with imhomogenous Neumann and Dirichlet boundary conditions

M van den Berg; PB Gilkey

doi:10.1023/A:1011200305247

Heat content asymptotics with imhomogenous Neumann and Dirichlet boundary conditions

M van den Berg, PB Gilkey

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

6 Citations (Scopus)

Abstract

Let M be a compact manifold with smooth boundary. We establish the existence of an asymptotic expansion for the heat content asymptotics of M with inhomogeneous Neumann and Dirichlet boundary conditions. We prove all the coefficients are locally determined and determine the first several terms in the asymptotic expansion.

Translated title of the contribution	Heat content asymptotics with imhomogenous Neumann and Dirichlet boundary conditions
Original language	English
Pages (from-to)	269 - 274
Number of pages	6
Journal	Potential Analysis
Volume	14 (3)
DOIs	https://doi.org/10.1023/A:1011200305247
Publication status	Published - May 2001

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Publisher: Springer Netherlands

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http://www.springerlink.com/content/g7283125517ng668/fulltext.pdf

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title = "Heat content asymptotics with imhomogenous Neumann and Dirichlet boundary conditions",

abstract = "Let M be a compact manifold with smooth boundary. We establish the existence of an asymptotic expansion for the heat content asymptotics of M with inhomogeneous Neumann and Dirichlet boundary conditions. We prove all the coefficients are locally determined and determine the first several terms in the asymptotic expansion.",

author = "\{van den Berg\}, M and PB Gilkey",

note = "Publisher: Springer Netherlands",

year = "2001",

month = may,

doi = "10.1023/A:1011200305247",

language = "English",

volume = "14 (3)",

pages = "269 -- 274",

journal = "Potential Analysis",

issn = "1572-929X",

publisher = "Springer Netherlands",

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TY - JOUR

T1 - Heat content asymptotics with imhomogenous Neumann and Dirichlet boundary conditions

AU - van den Berg, M

AU - Gilkey, PB

N1 - Publisher: Springer Netherlands

PY - 2001/5

Y1 - 2001/5

N2 - Let M be a compact manifold with smooth boundary. We establish the existence of an asymptotic expansion for the heat content asymptotics of M with inhomogeneous Neumann and Dirichlet boundary conditions. We prove all the coefficients are locally determined and determine the first several terms in the asymptotic expansion.

AB - Let M be a compact manifold with smooth boundary. We establish the existence of an asymptotic expansion for the heat content asymptotics of M with inhomogeneous Neumann and Dirichlet boundary conditions. We prove all the coefficients are locally determined and determine the first several terms in the asymptotic expansion.

U2 - 10.1023/A:1011200305247

DO - 10.1023/A:1011200305247

M3 - Article (Academic Journal)

SN - 1572-929X

VL - 14 (3)

SP - 269

EP - 274

JO - Potential Analysis

JF - Potential Analysis

ER -

Heat content asymptotics with imhomogenous Neumann and Dirichlet boundary conditions

Abstract

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