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Please use this identifier to cite or link to this item: http://hdl.handle.net/10077/3927

Title: Resolvent Estimates for Magnetic Schr\"odinger Operators and Their Applications to Related Evolution Equations
Authors: Mochizuki, Kiyoshi
Keywords: magnetic Schr\"odinger operator
smoothing property
Issue Date: 2010
Publisher: EUT Edizioni Università di Trieste
Citation: Kiyoshi Mochizuki, "Resolvent Estimates for Magnetic Schr\"odinger Operators and Their Applications to Related Evolution Equations”, in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 42 suppl. (2010), pp. 143-164.
Series/Report no.: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics;42 suppl. (2010)
Abstract: In this article we survey some basic results for the magnetic Schr\"odinger operator with external potential which has a strong singularity. The following topics are treated under suitable decay conditions on the magnetic field and external potential: Selfadjointness of the operator, Growth estimates of generalized eigenfunctions, Principle of limiting absorption, Uniform resolvent estimates, and Smoothing properties for corresponding evolution equations.
URI: http://hdl.handle.net/10077/3927
ISSN: 0049-4704
MS Classification 2000: 35Q40
35B40
81Q10
Appears in Collections:Rendiconti dell‘ Istituto di matematica dell‘ Università di Trieste: an International Journal of Mathematics vol.42 (2010) s.

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