Heat content and Hardy inequality for complete Riemannian manifolds

M van den Berg

doi:10.1016/j.jfa.2005.08.011

Heat content and Hardy inequality for complete Riemannian manifolds

M van den Berg

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

8 Citations (Scopus)

Abstract

Upper bounds are obtained for the heat content of an open set D in a complete Riemannian manifold, provided the Dirichlet-Laplace-Beltrami operator satisfies a strong Hardy inequality, and the distance function on D satisfies an integrability condition. (c) 2005 Elsevier Inc. All rights reserved.

Translated title of the contribution	Heat content and Hardy inequality for complete Riemannian manifolds
Original language	English
Pages (from-to)	478 - 493
Number of pages	16
Journal	Journal of Functional Analysis
Volume	233 (2)
DOIs	https://doi.org/10.1016/j.jfa.2005.08.011
Publication status	Published - 15 Apr 2006

Bibliographical note

Publisher: Academic Press
Other identifier: IDS Number: 031YG

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@article{17b94809a55b48e0ac3fbc87ba2bac9d,

title = "Heat content and Hardy inequality for complete Riemannian manifolds",

abstract = "Upper bounds are obtained for the heat content of an open set D in a complete Riemannian manifold, provided the Dirichlet-Laplace-Beltrami operator satisfies a strong Hardy inequality, and the distance function on D satisfies an integrability condition. (c) 2005 Elsevier Inc. All rights reserved.",

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

note = "Publisher: Academic Press Other identifier: IDS Number: 031YG ",

year = "2006",

month = apr,

day = "15",

doi = "10.1016/j.jfa.2005.08.011",

language = "English",

volume = "233 (2)",

pages = "478 -- 493",

journal = "Journal of Functional Analysis",

issn = "1096-0783",

publisher = "Academic Press Inc.",

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TY - JOUR

T1 - Heat content and Hardy inequality for complete Riemannian manifolds

AU - van den Berg, M

N1 - Publisher: Academic Press Other identifier: IDS Number: 031YG

PY - 2006/4/15

Y1 - 2006/4/15

N2 - Upper bounds are obtained for the heat content of an open set D in a complete Riemannian manifold, provided the Dirichlet-Laplace-Beltrami operator satisfies a strong Hardy inequality, and the distance function on D satisfies an integrability condition. (c) 2005 Elsevier Inc. All rights reserved.

AB - Upper bounds are obtained for the heat content of an open set D in a complete Riemannian manifold, provided the Dirichlet-Laplace-Beltrami operator satisfies a strong Hardy inequality, and the distance function on D satisfies an integrability condition. (c) 2005 Elsevier Inc. All rights reserved.

U2 - 10.1016/j.jfa.2005.08.011

DO - 10.1016/j.jfa.2005.08.011

M3 - Article (Academic Journal)

SN - 1096-0783

VL - 233 (2)

SP - 478

EP - 493

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

ER -

Heat content and Hardy inequality for complete Riemannian manifolds

Abstract

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