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| The Uniqueness of Inverse Problem for the DiracOperators with Partial Information |
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Citation： |
Zhaoying WEI1,Guangsheng WEI2.The Uniqueness of Inverse Problem for the DiracOperators with Partial Information[J].Chinese Annals of Mathematics B,2015,36(2):253~266 |
| Page view： 1738
Net amount： 1254 |
Authors： |
Zhaoying WEI1; Guangsheng WEI2; |
Foundation： |
the National Natural Science Foundation of China (No. 11171198) and the
Scientific Research Program Funded by Shaanxi Provincial Education Department (No. 2013JK0563). |
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| Abstract： |
The inverse spectral problem for the Dirac operators defined on the interval
[0, π] with self-adjoint separated boundary conditions is considered. Some uniqueness results
are obtained, which imply that the pair of potentials (p(x), r(x)) and a boundary
condition are uniquely determined even if only partial information is given on (p(x), r(x))
together with partial information on the spectral data, consisting of either one full spectrum
and a subset of norming constants, or a subset of pairs of eigenvalues and the corresponding
norming constants. Moreover, the authors are also concerned with the situation where
both p(x) and r(x) are Cn-smoothness at some given point. |
Keywords： |
Eigenvalue, Norming constant, Boundary condition, Inverse spectral
problem |
Classification： |
34A55, 34L40 |
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