An optimal partition problem for eigenvalues

L. A. Cafferelli, Fang Hua Lin

Research output: Contribution to journalArticle

Abstract

In this paper, we studied an optimal partition problem for the Dirichlet eigenvalue. We established the existence of classical solutions to such problems as well as the regularity of free interfaces.

Original languageEnglish (US)
Pages (from-to)5-18
Number of pages14
JournalJournal of Scientific Computing
Volume31
Issue number1-2
DOIs
StatePublished - Jun 1 2007

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Keywords

  • Eigenvalues
  • Free boundary
  • Optimal partition

ASJC Scopus subject areas

  • Software
  • Theoretical Computer Science
  • Numerical Analysis
  • Engineering(all)
  • Computational Theory and Mathematics
  • Computational Mathematics
  • Applied Mathematics

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