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Inverse Problems and Spectral Theory
 
Edited by: Hiroshi Isozaki :  Tokyo Metropolitan University, Tokyo, Japan
Inverse Problems and Spectral Theory
eBook ISBN:  978-0-8218-7938-2
Product Code:  CONM/348.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Add to cart
Inverse Problems and Spectral Theory
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Inverse Problems and Spectral Theory
Edited by: Hiroshi Isozaki :  Tokyo Metropolitan University, Tokyo, Japan
eBook ISBN:  978-0-8218-7938-2
Product Code:  CONM/348.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Add to cart
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 348; 2004; 243 pp
    MSC: 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.
    Readership

    Graduate 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 — Mittag-Leffler’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 Cauchy-Riemann systems [ MR 2066481 ]
    • Masaru Ikehata and Gen Nakamura — Pointwise reconstruction of the jump at the boundaries of inclusions [ MR 2066482 ]
    • Shin-ichi Nakagiri and Junhong Ha — Constant parameters identification problems of coupled sine-Gordon 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 ]
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Contemporary Mathematics
Volume: 348; 2004; 243 pp
MSC: 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.
Readership

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 — Mittag-Leffler’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 Cauchy-Riemann systems [ MR 2066481 ]
  • Masaru Ikehata and Gen Nakamura — Pointwise reconstruction of the jump at the boundaries of inclusions [ MR 2066482 ]
  • Shin-ichi Nakagiri and Junhong Ha — Constant parameters identification problems of coupled sine-Gordon 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 ]
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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