Electronic ISBN:  9780821879382 
Product Code:  CONM/348.E 
List Price:  $80.00 
MAA Member Price:  $72.00 
AMS Member Price:  $64.00 

Book DetailsContemporary MathematicsVolume: 348; 2004; 243 ppMSC: Primary 34; 35; 44; 58; 65; 81;
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.ReadershipGraduate students and research mathematicians interested in inverse problems and applications.

Table of Contents

Articles

V. G. Romanov and M. Yamamoto  On the determination of wave speed and potential in a hyperbolic equation by two measurements [ MR 2066476 ]

Yaroslav Kurylev, Matti Lassas and Erkki Somersalo  Focusing waves in electromagnetic inverse problems [ MR 2066477 ]

Habib Ammari and Hyeonbae Kang  Reconstruction of conductivity inhomogeneities of small diameter via boundary measurements [ MR 2066478 ]

Sungwhan Kim and Masahiro Yamamoto  Unique determination of inhomogeneity in a stationary isotropic Lamé system with variable coefficients [ MR 2066479 ]

Masaru Ikehata  MittagLeffler’s function and extracting from Cauchy data [ MR 2066480 ]

Gregory Eskin and James Ralston  On the inverse boundary value problem for linear isotropic elasticity and CauchyRiemann systems [ MR 2066481 ]

Masaru Ikehata and Gen Nakamura  Pointwise reconstruction of the jump at the boundaries of inclusions [ MR 2066482 ]

Shinichi Nakagiri and Junhong Ha  Constant parameters identification problems of coupled sineGordon equations [ MR 2066483 ]

Dmitri Chelkak, Pavel Kargaev and Evgeni Korotyaev  Inverse problem for harmonic oscillator perturbed by potential [ MR 2066484 ]

Anders Melin  Some transforms in potential scattering in odd dimension [ MR 2066485 ]

Gunther Uhlmann and András Vasy  Inverse problems in $N$body scattering [ MR 2066486 ]

Atsushi Katsuda  Asymptotics of heat kernels on nilpotent coverings and related topics [ MR 2066487 ]

Ruishi Kuwabara  Eigenvalues associated with a periodic orbit of the magnetic flow [ MR 2066488 ]

Hiroshi Isozaki  Inverse problems and hyperbolic manifolds [ MR 2066489 ]

Takashi Takiguchi  Reconstruction of measurable plane sets from their orthogonal projections [ MR 2066490 ]

Kentaro Iijima, Kenji Shirota and Kazuei Onishi  A numerical computation for inverse boundary value problems by using the adjoint method [ MR 2066491 ]

Hajime Urakawa  The Dirichlet eigenvalue problem, the finite element method and graph theory [ MR 2066492 ]

J. Cheng, Y. C. Hon and Y. B. Wang  A numerical method for the discontinuous solutions of Abel integral equations [ MR 2066493 ]


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

Articles

V. G. Romanov and M. Yamamoto  On the determination of wave speed and potential in a hyperbolic equation by two measurements [ MR 2066476 ]

Yaroslav Kurylev, Matti Lassas and Erkki Somersalo  Focusing waves in electromagnetic inverse problems [ MR 2066477 ]

Habib Ammari and Hyeonbae Kang  Reconstruction of conductivity inhomogeneities of small diameter via boundary measurements [ MR 2066478 ]

Sungwhan Kim and Masahiro Yamamoto  Unique determination of inhomogeneity in a stationary isotropic Lamé system with variable coefficients [ MR 2066479 ]

Masaru Ikehata  MittagLeffler’s function and extracting from Cauchy data [ MR 2066480 ]

Gregory Eskin and James Ralston  On the inverse boundary value problem for linear isotropic elasticity and CauchyRiemann systems [ MR 2066481 ]

Masaru Ikehata and Gen Nakamura  Pointwise reconstruction of the jump at the boundaries of inclusions [ MR 2066482 ]

Shinichi Nakagiri and Junhong Ha  Constant parameters identification problems of coupled sineGordon equations [ MR 2066483 ]

Dmitri Chelkak, Pavel Kargaev and Evgeni Korotyaev  Inverse problem for harmonic oscillator perturbed by potential [ MR 2066484 ]

Anders Melin  Some transforms in potential scattering in odd dimension [ MR 2066485 ]

Gunther Uhlmann and András Vasy  Inverse problems in $N$body scattering [ MR 2066486 ]

Atsushi Katsuda  Asymptotics of heat kernels on nilpotent coverings and related topics [ MR 2066487 ]

Ruishi Kuwabara  Eigenvalues associated with a periodic orbit of the magnetic flow [ MR 2066488 ]

Hiroshi Isozaki  Inverse problems and hyperbolic manifolds [ MR 2066489 ]

Takashi Takiguchi  Reconstruction of measurable plane sets from their orthogonal projections [ MR 2066490 ]

Kentaro Iijima, Kenji Shirota and Kazuei Onishi  A numerical computation for inverse boundary value problems by using the adjoint method [ MR 2066491 ]

Hajime Urakawa  The Dirichlet eigenvalue problem, the finite element method and graph theory [ MR 2066492 ]

J. Cheng, Y. C. Hon and Y. B. Wang  A numerical method for the discontinuous solutions of Abel integral equations [ MR 2066493 ]