Hölder continuous solutions of an obstacle thermistor problem

Walter Allegretto; Yanping Lin; Shuqing Ma

Hölder continuous solutions of an obstacle thermistor problem

Walter Allegretto, Yanping Lin, Shuqing Ma

Research output: Journal article publication › Journal article › Academic research › peer-review

Abstract

In this paper we consider a thermistor problem with a current source, i.e., a nonlocal boundary condition. The electric potential is unknown on part of the boundary, but the current through it is known. We apply a decomposition technique and transform the equation satisfied by the potential into two elliptic problems with usual boundary conditions. The unique solvability of the initial boundary value problem is achieved.

Original language	English
Pages (from-to)	983-997
Number of pages	15
Journal	Discrete and Continuous Dynamical Systems - Series B
Volume	4
Issue number	4
Publication status	Published - 1 Nov 2004
Externally published	Yes

Keywords

Current driven
Existence
Obstacle thermistor problem
Uniqueness

ASJC Scopus subject areas

Discrete Mathematics and Combinatorics
Applied Mathematics

Cite this

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title = "H{\"o}lder continuous solutions of an obstacle thermistor problem",

abstract = "In this paper we consider a thermistor problem with a current source, i.e., a nonlocal boundary condition. The electric potential is unknown on part of the boundary, but the current through it is known. We apply a decomposition technique and transform the equation satisfied by the potential into two elliptic problems with usual boundary conditions. The unique solvability of the initial boundary value problem is achieved.",

keywords = "Current driven, Existence, Obstacle thermistor problem, Uniqueness",

author = "Walter Allegretto and Yanping Lin and Shuqing Ma",

year = "2004",

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T1 - Hölder continuous solutions of an obstacle thermistor problem

AU - Allegretto, Walter

AU - Lin, Yanping

AU - Ma, Shuqing

PY - 2004/11/1

Y1 - 2004/11/1

N2 - In this paper we consider a thermistor problem with a current source, i.e., a nonlocal boundary condition. The electric potential is unknown on part of the boundary, but the current through it is known. We apply a decomposition technique and transform the equation satisfied by the potential into two elliptic problems with usual boundary conditions. The unique solvability of the initial boundary value problem is achieved.

AB - In this paper we consider a thermistor problem with a current source, i.e., a nonlocal boundary condition. The electric potential is unknown on part of the boundary, but the current through it is known. We apply a decomposition technique and transform the equation satisfied by the potential into two elliptic problems with usual boundary conditions. The unique solvability of the initial boundary value problem is achieved.

KW - Current driven

KW - Existence

KW - Obstacle thermistor problem

KW - Uniqueness

UR - http://www.scopus.com/inward/record.url?scp=4944220248&partnerID=8YFLogxK

M3 - Journal article

SN - 1531-3492

VL - 4

SP - 983

EP - 997

JO - Discrete and Continuous Dynamical Systems - Series B

JF - Discrete and Continuous Dynamical Systems - Series B

IS - 4

ER -

Hölder continuous solutions of an obstacle thermistor problem

Abstract

Keywords

ASJC Scopus subject areas

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