Boundary value estimates for harmonic forms

T. Iwaniec, M. Mitrea, C. Scott

Research output: Contribution to journalArticle

3 Scopus citations

Abstract

We prove a bound for the L2-norm of harmonic forms in terms of certain Lp-norms of their normal and tangential components. In turn, this is used to show the L2-norm equivalence of the normal and tangential components of harmonic forms on manifolds.

Original languageEnglish (US)
Pages (from-to)1467-1471
Number of pages5
JournalProceedings of the American Mathematical Society
Volume124
Issue number5
DOIs
StatePublished - 1996

Keywords

  • Differential form
  • Harmonic form
  • L-norm

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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