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| ON THE ESSENTIAL SPECTRUM OF PSEUDODIFFERENTIAL OPERATORS (II) |
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Citation： |
Fan Qihong.ON THE ESSENTIAL SPECTRUM OF PSEUDODIFFERENTIAL OPERATORS (II)[J].Chinese Annals of Mathematics B,1994,15(3):327~334 |
| Page view： 1054
Net amount： 704 |
Authors： |
Fan Qihong; |
Foundation： |
Project supported by the National Natural Science
Foundation of China |
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| Abstract： |
This paper continues the studies of the essential
spectrum of nonsemi-bounded pseudodifferential operators. The
author improves the results in [5] in some sense. For the relativistic
Schr\"odinger operator, $\sqrt {-\Delta+m^2}+v(x)$, complete results
are obtained. |
Keywords： |
Essential spectrum, Pseudodifferential operator,
Schr\"odinger operator. |
Classification： |
35P05, 35S99, 47G30. |
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