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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 | 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. | 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. |
Type: | Article | URI: | http://hdl.handle.net/10077/3927 | ISSN: | 0049-4704 |
| 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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|---|---|---|---|---|
| Mochizuki.pdf | 251.77 kB | Adobe PDF |  View/Open |
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