2012 Fiscal Year Final Research Report
Spectral and inverse scattering theory on non-compact manifolds
| Project/Area Number |
21340028
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| Research Category |
Grant-in-Aid for Scientific Research (B)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Basic analysis
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| Research Institution | University of Tsukuba |
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Principal Investigator |
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| Project Period (FY) |
2009 – 2012
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| Keywords | スペクトル理論 / 逆問題 / 散乱理論 / S行列 / ディリクレ・ノイマン写像 |
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| Research Abstract |
(1) The inverse scattering from cusp on asymptotically hyperbolic manifolds with conical singularities.
(2) The reconstruction of the potential from the S-matrix of one fixed energy for the discrete Schroedinger operator on square lattice as well as the Rellich type uniqueness theorem.
(3) The reconstruction of discontinuities of heat conductivity from the local boundary measurements, with numerical computation.
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