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Resolvent Estimates for Magnetic Schr\"odinger Operators and Their Applications to Related Evolution Equations
Mochizuki, Kiyoshi
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.
Series
Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics;42 suppl. (2010)
Publisher
EUT Edizioni Università di Trieste
Source
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.
Languages
en
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