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

Michael Ruzhansky; Durvudkhan Suragan

doi:10.1090/proc/12792

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 journal › Article › peer-review

26 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 language	English
Pages (from-to)	709-721
Number of pages	13
Journal	Proceedings of the American Mathematical Society
Volume	144
Issue number	2
DOIs	https://doi.org/10.1090/proc/12792
Publication status	Published - Feb 1 2016
Externally published	Yes

Keywords

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

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

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AU - Suragan, Durvudkhan

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N2 - 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.

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KW - Heisenberg group

KW - Integral boundary conditions

KW - Kohn Laplacian

KW - Newton potential

KW - Sub-Laplacian

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

Abstract

Keywords

ASJC Scopus subject areas

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