**Contemporary Mathematics**

Volume: 348;
2004;
243 pp;
Softcover

MSC: Primary 34; 35; 44; 58; 65; 81;

Print ISBN: 978-0-8218-3421-3

Product Code: CONM/348

List Price: $80.00

Individual Member Price: $64.00

**Electronic ISBN: 978-0-8218-7938-2
Product Code: CONM/348.E**

List Price: $80.00

Individual Member Price: $64.00

# Inverse Problems and Spectral Theory

Share this page *Edited by *
*Hiroshi Isozaki*

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
Schrödinger equation, differential geometry, and numerical
analysis. The material is suitable for graduate students and
researchers interested in inverse problems and their
applications.

#### Table of Contents

# Table of Contents

## Inverse Problems and Spectral Theory

- Contents v6 free
- On the determination of wave speed and potential in a hyperbolic equation by two measurements 112 free
- Focusing waves in electromagnetic inverse problems 1122
- Reconstruction of conductivity inhomogeneities of small diameter via boundary measurements 2334
- Unique determination of inhomogeneity in a stationary isotropic Lamé system with variable coefficients 3344
- Mittag-Leffler's function and extracting from Cauchy data 4152
- On the inverse boundary value problem for linear isotropic elasticity and Cauchy-Riemann systems 5364
- Pointwise reconstruction of the jump at the boundaries of inclusions 7182
- Constant parameters identification problems of coupled sine-Gordon equations 7788
- Inverse problem for harmonic oscillator perturbed by potential 93104
- Some transforms in potential scattering in odd dimension 103114
- Inverse problems in N-body scattering 135146
- Asymptotics of heat kernels on nilpotent coverings and related topics 155166
- Eigenvalues associated with a periodic orbit of the magnetic flow 169180
- Inverse problems and hyperbolic manifolds 181192
- Reconstruction of measurable plane sets from their orthogonal projections 199210
- A numerical computation for inverse boundary value problems by using the adjoint method 209220
- The Dirichlet eigenvalue problem, the finite element method and graph theory 221232
- A numerical method for the discontinuous solutions of Abel integral equations 233244

#### Readership

Graduate students and research mathematicians interested in inverse problems and applications.