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Spectral problems and scattering on noncompact star-shaped graphs containing finite rays
-
Kiyoshi Mochizuki
and
Igor Trooshin
Published/Copyright:
July 8, 2014
Abstract
We consider Schrödinger operators on noncompact star-shaped graphs. The following topics will be treated under suitable decay conditions on the potential: characterization of the set of eigenvalues and expression of each eigen-projection; low-energy behavior of the resolvent, spectral representations of the operator restricted on infinite rays; determination of the Marchenko equations and the inverse scattering problems.
Funding source: Japan Society for Promotion of Science
Award Identifier / Grant number: Grant-in Aid for Scientific Research (C) No. 22540204
Funding source: Japan Society for Promotion of Science
Award Identifier / Grant number: Grant-in Aid for Scientific Research (C) No. 23540181
Received: 2013-8-27
Revised: 2014-4-23
Accepted: 2014-6-15
Published Online: 2014-7-8
Published in Print: 2015-2-1
© 2015 by De Gruyter
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- Frontmatter
- Inverse problems for linear degenerate parabolic equations by “time-like” Carleman estimate
- Spectral problems and scattering on noncompact star-shaped graphs containing finite rays
- Stability estimates for Burgers-type equations backward in time
- A Hölder-logarithmic stability estimate for an inverse problem in two dimensions
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Articles in the same Issue
- Frontmatter
- Inverse problems for linear degenerate parabolic equations by “time-like” Carleman estimate
- Spectral problems and scattering on noncompact star-shaped graphs containing finite rays
- Stability estimates for Burgers-type equations backward in time
- A Hölder-logarithmic stability estimate for an inverse problem in two dimensions
- On convergence rates for iteratively regularized Newton-type methods under a Lipschitz-type nonlinearity condition
- Identification of an unknown spatial load distribution in a vibrating cantilevered beam from final overdetermination
