## 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, JapanThis 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. |

### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Contents

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 |

### Other editions - View all

Inverse Problems and Spectral Theory: Proceedings of the Workshop on ... Hiroshi Isozaki No preview available - 2004 |

### Common terms and phrases

2004 American Mathematical algorithm apply approximation assume asymptotic backscattering boundary measurements boundary value problem bounded broken bicharacteristic Cauchy problem coefficients compact condition consider constant construct Contemporary Mathematics Volume corresponding cusp D-N map defined denote derivative Dirichlet distribution kernel domain E-mail address eigenvalue problem estimate exists exponentially formula Fourier transform Gâteaux differentiability geodesic given graph Hamiltonian Hence hyperbolic manifolds Ikehata inclusions inf Aa infinity integral equation inverse boundary value Inverse Problems inverse scattering isomorphism isotropic Ko(t Laplace equation Lemma linear Math Mathematics Subject Classification Mathematics Volume 348 matrix metric nilpotent norm numerical obtain orthogonal parameters perturbation potential projections proof of Theorem Proposition prove Radon transform reconstruction regularization representation resp Riemannian manifold S-matrix satisfies scattering amplitude Schrödinger equation Schrödinger operator sequence sine-Gordon equations smooth function solution space spectral data subset Theorem 1.1 theory Tikhonov regularization Uhlmann uniquely determined vector wave