Emil J. Straube

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19992003

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math.CV2003

Geometric conditions which imply compactness of the $\partial ˉ$ -Neumann operator

Emil J. Straube

For smooth bounded pseudoconvex domains in $ma t hbb C^{2}$ , we provide geometric conditions on (the points of infinite type in) the boundary which imply compactness of the $\bar{\p…

math.CV2002

Semi-classical analysis of Schrodinger operators and compactness in the d-bar-Neumann problem

Siqi Fu, Emil J. Straube

We study the asymptotic behavior, in a ``semi-classical limit'', of the first eigenvalues (i.e. the groundstate energies) of a class of Schrödinger operators with magnetic fields a…

math.CV1999

Compactness in the d-bar-Neumann problem

Siqi Fu, Emil J. Straube

This paper surveys the theory of compactness of the d-bar-Neumann problem. It also contains several results which improve upon what was previously known.

Geometric conditions which imply compactness of the ∂ˉ-Neumann operator

Semi-classical analysis of Schrodinger operators and compactness in the d-bar-Neumann problem

Compactness in the d-bar-Neumann problem

Geometric conditions which imply compactness of the $\partial ˉ$ -Neumann operator