6 papers
Observations regarding compactness in the -Neumann problem
Mehmet Çelik, Emil J. Straube
We show that compactness of the -Neumann operator is independent of the metric, and we give a new proof of this independence for subellipticity. We define an a…
Compactness of the Complex Green Operator
Andrew S. Raich, Emil J. Straube
Let $Ω\subset\C^n$ be a bounded smooth pseudoconvex domain. We show that compactness of the complex Green operator on -forms on implies compactness of the $\bar…
Complex tangential flows and compactness of the - Neumann operator
Samangi Munasinghe, Emil J. Straube
We provide geometric conditions on the set of boundary points of infinite type of a smooth bounded pseudoconvex domain in which imply that the -Neu…
Geometric conditions which imply compactness of the -Neumann operator
Emil J. Straube
For smooth bounded pseudoconvex domains in , we provide geometric conditions on (the points of infinite type in) the boundary which imply compactness of the $\bar{\p…
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…
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.