Inverse Problems and Spectral Theory: Proceedings of the Workshop on Spectral Theory of Differential Operators and Inverse Problems, October 28-November 1, 2002, Research Institute for Mathematical Sciences, Kyoto University, Kyoto, Japan

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This volume grew out of a workshop on spectral theory of differential operators and inverse problems held at the Research Institute for Mathematical Sciences (Kyoto University). The gathering of nearly 100 participants at the conference suggests the increasing interest in this field of research. The focus of the book is on spectral theory for differential operators and related inverse problems. It includes selected topics from the following areas: electromagnetism, elasticity, the Schrodinger equation, differential geometry, and numerical analysis. The material is suitable for graduate students and researchers interested in inverse problems and their applications.
 

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Contents

On the determination of wave speed and potential in a hyperbolic equation by two measurements
1
Focusing waves in electromagnetic inverse problems
11
Reconstruction of conductivity inhomogeneities of small diameter via boundary measurements
23
Unique determination of inhomogeneity in a stationary isotropic Lamé system with variable coefficients
33
MittagLefflers function and extracting from Cauchy data
41
On the inverse boundary value problem for linear isotropic elasticity and CauchyRiemann systems
53
Pointwise reconstruction of the jump at the boundaries of inclusions
71
Constant parameters identification problems of coupled sineGordon equations
77
Inverse problems in Nbody scattering
135
Asymptotics of heat kernels on nilpotent coverings and related topics
155
Eigenvalues associated with a periodic orbit of the magnetic flow
169
Inverse problems and hyperbolic manifolds
181
Reconstruction of measurable plane sets from their orthogonal projections
199
A numerical computation for inverse boundary value problems by using the adjoint method
209
The Dirichlet eigenvalue problem the finite element method and graph theory
221
A numerical method for the discontinuous solutions of Abel integral equations
233

Inverse problem for harmonic oscillator perturbed by potential
93
Some transforms in potential scattering in odd dimension
103

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