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Inverse Spectral Problems for Linear Differential Operators and Their Applications

线性微分算子的逆谱问题及其应用

ISBN：9789056991890，出版年：2000，中图分类号：O17 被引 177次

Part One: Recovery of Differential Operators from the Weyl Matrix 1. Formulation of the Inverse Problem: A Uniqueness Theorem 2. Solution of the Inverse Problem on the Half-line 3. Differential Operators with a Simple Spectrum 4. Solution of the Inverse Problem on a Finite Interval 5. Inverse Problems for the Self-Adjoint Case 6. Differential Operators with Singularities Part Two: Recovery of Differential Operators from the Weyl Functions: Differential Operators with a "Separate Spectrum" 7. Stability of the Solution of the Inverse Problem 8.Method of Standard Models: Information Conditions 9. An Inverse Problem of Elasticity Theory 10. Differential Operator with Locally Integrable Coefficients 11. Discrete Inverse Problems: Applications to Differential Operators 12. Inverse Problems for Integro-differential Operators

Operator theory Fourier integral operator Constant coefficients Spectral theorem Parametrix Inverse scattering problem Microlocal analysis Spectral geometry Mathematical analysis Mathematics