Hardy inequality and weighted heat trace

M van den Berg

doi:10.1007/s11118-008-9111-7

Hardy inequality and weighted heat trace

M van den Berg

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

Abstract

Upper bounds are obtained for the heat trace weighted by a negative power of the distance to the boundary of an open set D in a complete Riemannian manifold, provided the Dirichlet-Laplace-Beltrami operator acting in L 2(D) satisfies a strong Hardy inequality.

Translated title of the contribution	Hardy inequality and weighted heat trace
Original language	English
Pages (from-to)	201 - 209
Number of pages	9
Journal	Potential Analysis
Volume	30, number 3
DOIs	https://doi.org/10.1007/s11118-008-9111-7
Publication status	Published - Apr 2009

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Publisher: Springer Netherlands

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10.1007/s11118-008-9111-7

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title = "Hardy inequality and weighted heat trace",

abstract = "Upper bounds are obtained for the heat trace weighted by a negative power of the distance to the boundary of an open set D in a complete Riemannian manifold, provided the Dirichlet-Laplace-Beltrami operator acting in L 2(D) satisfies a strong Hardy inequality.",

author = "\{van den Berg\}, M",

note = "Publisher: Springer Netherlands",

year = "2009",

month = apr,

doi = "10.1007/s11118-008-9111-7",

language = "English",

volume = "30, number 3",

pages = "201 -- 209",

journal = "Potential Analysis",

issn = "1572-929X",

publisher = "Springer Netherlands",

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T1 - Hardy inequality and weighted heat trace

AU - van den Berg, M

N1 - Publisher: Springer Netherlands

PY - 2009/4

Y1 - 2009/4

N2 - Upper bounds are obtained for the heat trace weighted by a negative power of the distance to the boundary of an open set D in a complete Riemannian manifold, provided the Dirichlet-Laplace-Beltrami operator acting in L 2(D) satisfies a strong Hardy inequality.

AB - Upper bounds are obtained for the heat trace weighted by a negative power of the distance to the boundary of an open set D in a complete Riemannian manifold, provided the Dirichlet-Laplace-Beltrami operator acting in L 2(D) satisfies a strong Hardy inequality.

U2 - 10.1007/s11118-008-9111-7

DO - 10.1007/s11118-008-9111-7

M3 - Article (Academic Journal)

SN - 1572-929X

VL - 30, number 3

SP - 201

EP - 209

JO - Potential Analysis

JF - Potential Analysis

ER -

Hardy inequality and weighted heat trace

Abstract

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