Movement of hot spots on the exterior domain of a ball under the Neumann boundary condition

Kazuhiro Ishige

doi:10.1016/j.jde.2004.11.002

Movement of hot spots on the exterior domain of a ball under the Neumann boundary condition

Kazuhiro Ishige

SCI - Mathematics

Research output: Contribution to journal › Article › peer-review

13 Citations (Scopus)

Abstract

We consider the Cauchy-Neumann problem of the heat equation in the exterior domain of a ball in R^N, and study the movement of hot spots of the solution as t → ∞.

Original language	English
Pages (from-to)	394-431
Number of pages	38
Journal	Journal of Differential Equations
Volume	212
Issue number	2
DOIs	https://doi.org/10.1016/j.jde.2004.11.002
Publication status	Published - 2005 May 15

Keywords

The Cachy-Neumann problem
The exterior domain of a ball
The heat equation
The movement of hot spots

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1016/j.jde.2004.11.002

Cite this

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title = "Movement of hot spots on the exterior domain of a ball under the Neumann boundary condition",

abstract = "We consider the Cauchy-Neumann problem of the heat equation in the exterior domain of a ball in RN, and study the movement of hot spots of the solution as t → ∞.",

keywords = "The Cachy-Neumann problem, The exterior domain of a ball, The heat equation, The movement of hot spots",

author = "Kazuhiro Ishige",

year = "2005",

month = may,

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doi = "10.1016/j.jde.2004.11.002",

language = "English",

volume = "212",

pages = "394--431",

journal = "Journal of Differential Equations",

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AU - Ishige, Kazuhiro

PY - 2005/5/15

Y1 - 2005/5/15

N2 - We consider the Cauchy-Neumann problem of the heat equation in the exterior domain of a ball in RN, and study the movement of hot spots of the solution as t → ∞.

AB - We consider the Cauchy-Neumann problem of the heat equation in the exterior domain of a ball in RN, and study the movement of hot spots of the solution as t → ∞.

KW - The Cachy-Neumann problem

KW - The exterior domain of a ball

KW - The heat equation

KW - The movement of hot spots

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DO - 10.1016/j.jde.2004.11.002

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EP - 431

JO - Journal of Differential Equations

JF - Journal of Differential Equations

SN - 0022-0396

IS - 2

ER -

Movement of hot spots on the exterior domain of a ball under the Neumann boundary condition

Abstract

Keywords

ASJC Scopus subject areas

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