Spectral and inverse scattering theory on non-compact manifolds
Project/Area Number |
21340028
|
Research Category |
Grant-in-Aid for Scientific Research (B)
|
Allocation Type | Single-year Grants |
Section | 一般 |
Research Field |
Basic analysis
|
Research Institution | University of Tsukuba |
Principal Investigator |
|
Project Period (FY) |
2009 – 2012
|
Project Status |
Completed (Fiscal Year 2012)
|
Budget Amount *help |
¥16,380,000 (Direct Cost: ¥12,600,000、Indirect Cost: ¥3,780,000)
Fiscal Year 2012: ¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000)
Fiscal Year 2011: ¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000)
Fiscal Year 2010: ¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000)
Fiscal Year 2009: ¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
|
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 / S行列 / ディリクレノイマン写像 / 非コンパクト多様体 / リーマン計量 / ラプラス-ベルトラミ作用素 / 波動方程式 / 境界制御法 / 多様体 / DN写像 |
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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Report
(5 results)
Research Products
(57 results)