Compactness in the \(\overline\partial\)-Neumann problem, magnetic Schrödinger operators, and the Aharonov-Bohm effect
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Publication:2570066
DOI10.1016/j.aim.2004.08.015zbMath1098.32020arXivmath/0311225OpenAlexW1988410335WikidataQ60961620 ScholiaQ60961620MaRDI QIDQ2570066
Publication date: 26 October 2005
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0311225
Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) (overlinepartial) and (overlinepartial)-Neumann operators (32W05) (overlinepartial)-Neumann problems and formal complexes in context of PDEs (35N15)
Related Items (20)
Geometric conditions which imply compactness of the \({\overline\partial}\)-Neumann operator. ⋮ Heat equations in \(\mathbb {R} \times \mathbb {C}\) ⋮ On noncompactness of the \(\overline{\partial}\)-Neumann problem on pseudoconvex domains in \(\mathbb{C}^3\) ⋮ Compactness of the solution operator to \(\overline\partial\) in weighted \(L^{2}\)-spaces ⋮ Pointwise estimates for relative fundamental solutions of heat equations in \({\mathbb{R} \times \mathbb{C}}\) ⋮ Sufficient condition for compactness of the \overline{∂}-Neumann operator using the Levi core ⋮ Analysis on the intersection of pseudoconvex domains ⋮ Sufficient conditions for compactness of the \(\bar{\partial}\)-Neumann operator on high level forms ⋮ Hearing the type of a domain in \(\mathbb C^2\) with the \(\bar{\partial}\)-Neumann Laplacian ⋮ Compactness of the resolvent for the Witten Laplacian ⋮ Hartogs domains and the Diederich-Fornæss index ⋮ Analytic discs, plurisubharmonic hulls, and non-compactness of the \(\bar\partial\)-Neumann operator ⋮ On compactness of Hankel and the \(\overline{\partial}\)-Neumann operators on Hartogs domains in \(\mathbb {C}^2\) ⋮ On compactness of the ∂̄-Neumann operator on Hartogs domains ⋮ Observations regarding compactness in the<ovl>∂</ovl>-Neumann problem ⋮ Spectral stability of the \(\overline{\partial}\)-Neumann Laplacian: domain perturbations ⋮ A geometric approach to Catlin's boundary systems ⋮ Discreteness of the spectrum of Schrödinger operators with non-negative matrix-valued potentials ⋮ Compactness estimate for the -Neumann problem on aQ-pseudoconvex domain ⋮ Some aspects of Property for
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