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Geometric sufficient conditions for compactness of the ∂-Neumann operator

By Samangi Munasinghe

Abstract

For smooth bounded pseudoconvex domains in Cn, we provide geometric conditions on (the points of infinite type in) the boundary which imply compactness of the ∂-Neumann operator. This is an extension of a theorem of Straube for smooth bounded pseudoconvex domains in C2

Topics: â -Neumann operator, Compactness, Geometric conditions
Year: 2009
OAI identifier: oai:oaktrust.library.tamu.edu:1969.1/ETD-TAMU-1809
Provided by: Texas A&M University
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