On KAC’S principle of not feeling the boundary for the kohn laplacian on the heisenberg group

Michael Ruzhansky, Durvudkhan Suragan

Research output: Contribution to journalArticle

25 Citations (Scopus)

Abstract

In this note we construct an integral boundary condition for the Kohn Laplacian in a given domain on the Heisenberg group extending to the setting of the Heisenberg group M. Kac’s "principle of not feeling the boundary". This also amounts to finding the trace on smooth surfaces of the Newton potential associated to the Kohn Laplacian. We also obtain similar results for higher powers of the Kohn Laplacian.

Original languageEnglish
Pages (from-to)709-721
Number of pages13
JournalProceedings of the American Mathematical Society
Volume144
Issue number2
DOIs
Publication statusPublished - Feb 1 2016
Externally publishedYes

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Keywords

  • Heisenberg group
  • Integral boundary conditions
  • Kohn Laplacian
  • Newton potential
  • Sub-Laplacian

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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