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Schrödinger operators with magnetic fields and the canonical solution operator to d-bar [PDF]
In this paper we characterize compactness of the canonical solution operator to d-bar on weighted L^2 spaces on C. For this purpose we consider certain Schr\"odinger operators with magnetic fields and use a condition which is equivalent to the property that these operators have compact resolvents.
arxiv
Commutators associated with Schrödinger operators on the nilpotent Lie group. [PDF]
Ni T, Liu Y.
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Aharonov and Bohm versus Welsh eigenvalues. [PDF]
Exner P, Kondej S.
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Spectral shift functions and Dirichlet-to-Neumann maps. [PDF]
Behrndt J, Gesztesy F, Nakamura S.
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Supercontractivity and ultracontractivity for (nonsymmetric) diffusion semigroups on manifolds
, 2003Under a curvature condition, we obtain some criteria of supercontractivity and ultracontractivity for (non-symmetric) diffusion semigroups on Riemannian manifolds.
M. Röckner, F.-Y. Wang
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A note on bilinear estimates in the Sobolev spaces
International Journal of Mathematical Analysis, 2019In this note, we derive Gulisashvili-Kon’s generalized fractional Leibniz estimates from the Kato-Ponce’s fractional Leibniz estimate on the basis of interpolation given by the Gagliardo-Nirenberg inequalities. Mathematics Subject Classifications: 35J10,
Jishan Fan, T. Ozawa
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A Stationary Schrödinger-Poisson System Arising from the Modelling of Electronic Devices
, 1990F. Nier
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Absolute Continuity in Periodic Waveguides
, 2002A. Sobolev, Jon Walthoe
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Periodic Schrödinger Operators on a Manifold
, 1989Toshiyuki Kobayashi, K. Ôno, T. Sunada
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Two‐Sided Estimates of the Heat Kernel of the Schrödinger Operator
, 1998V. Liskevich, Y. Semenov
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