Hölder continuous solutions of an obstacle thermistor problem

Walter Allegretto, Yanping Lin, Shuqing Ma

Research output: Journal article publicationJournal articleAcademic researchpeer-review

5 Citations (Scopus)

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 languageEnglish
Pages (from-to)983-997
Number of pages15
JournalDiscrete and Continuous Dynamical Systems - Series B
Volume4
Issue number4
Publication statusPublished - 1 Nov 2004
Externally publishedYes

Keywords

  • Current driven
  • Existence
  • Obstacle thermistor problem
  • Uniqueness

ASJC Scopus subject areas

  • Discrete Mathematics and Combinatorics
  • Applied Mathematics

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