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Rendiconti dell‘ Istituto di matematica dell‘ Università di Trieste: an International Journal of Mathematics vol.42 (2010) s. >
Please use this identifier to cite or link to this item:
http://hdl.handle.net/10077/3927
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| 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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