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Inverse problems and spectral theory : [electronic resource] proceedings of the Workshop on Spectral Theory of Differential Operators and Inverse Problems, October 28-November 1, 2002, Research Institute for Mathematical Science, Kyoto University, Kyoto, Japan / Hiroshi Isozaki, editor.

By: Workshop on Spectral Theory of Differential Operators and Inverse Problems (2002 : Kyoto University)Contributor(s): Isozaki, Hiroshi, 1950-Material type: Text

TextSeries: Contemporary mathematics (American Mathematical Society) ; v. 348.Publication details: Providence, R.I. : American Mathematical Society, c2004Description: 1 online resource (ix, 243 p. : ill.)ISBN: 9780821879382 (online)Subject(s): Differential operators -- Congresses | Spectral theory (Mathematics) -- Congresses | Inverse problems (Differential equations) -- CongressesAdditional physical formats: Inverse problems and spectral theory :DDC classification: 515/.7242 LOC classification: QA329.4 | .W67 2002Online resources: Contents | Contents

Contents:

On the determination of wave speed and potential in a hyperbolic equation by two measurements / V. G. Romanov and M. Yamamoto -- http://www.ams.org/conm/348/ http://dx.doi.org/10.1090/conm/348/06309 Focusing waves in electromagnetic inverse problems / Yaroslav Kurylev, Matti Lassas and Erkki Somersalo -- http://www.ams.org/conm/348/ http://dx.doi.org/10.1090/conm/348/06310 Reconstruction of conductivity inhomogeneities of small diameter via boundary measurements / Habib Ammari and Hyeonbae Kang -- http://www.ams.org/conm/348/ http://dx.doi.org/10.1090/conm/348/06311 Unique determination of inhomogeneity in a stationary isotropic Lam�e system with variable coefficients / Sungwhan Kim and Masahiro Yamamoto -- http://www.ams.org/conm/348/ http://dx.doi.org/10.1090/conm/348/06312 Mittag-Leffler's function and extracting from Cauchy data / Masaru Ikehata -- http://www.ams.org/conm/348/ http://dx.doi.org/10.1090/conm/348/06313 On the inverse boundary value problem for linear isotropic elasticity and Cauchy-Riemann systems / Gregory Eskin and James Ralston -- http://www.ams.org/conm/348/ http://dx.doi.org/10.1090/conm/348/06314 Pointwise reconstruction of the jump at the boundaries of inclusions / Masaru Ikehata and Gen Nakamura -- http://www.ams.org/conm/348/ http://dx.doi.org/10.1090/conm/348/06315 Constant parameters identification problems of coupled sine-Gordon equations / Shin-ichi Nakagiri and Junhong Ha -- http://www.ams.org/conm/348/ http://dx.doi.org/10.1090/conm/348/06316 Inverse problem for harmonic oscillator perturbed by potential / Dmitri Chelkak, Pavel Kargaev and Evgeni Korotyaev -- http://www.ams.org/conm/348/ http://dx.doi.org/10.1090/conm/348/06317 Some transforms in potential scattering in odd dimension / Anders Melin -- http://www.ams.org/conm/348/ http://dx.doi.org/10.1090/conm/348/06318 Inverse problems in $N$-body scattering / Gunther Uhlmann and Andr�as Vasy -- http://www.ams.org/conm/348/ http://dx.doi.org/10.1090/conm/348/06319 Asymptotics of heat kernels on nilpotent coverings and related topics / Atsushi Katsuda -- http://www.ams.org/conm/348/ http://dx.doi.org/10.1090/conm/348/06320 Eigenvalues associated with a periodic orbit of the magnetic flow / Ruishi Kuwabara -- http://www.ams.org/conm/348/ http://dx.doi.org/10.1090/conm/348/06321 Inverse problems and hyperbolic manifolds / Hiroshi Isozaki -- http://www.ams.org/conm/348/ http://dx.doi.org/10.1090/conm/348/06322 Reconstruction of measurable plane sets from their orthogonal projections / Takashi Takiguchi -- http://www.ams.org/conm/348/ http://dx.doi.org/10.1090/conm/348/06323 A numerical computation for inverse boundary value problems by using the adjoint method / Kentaro Iijima, Kenji Shirota and Kazuei Onishi -- http://www.ams.org/conm/348/ http://dx.doi.org/10.1090/conm/348/06324 The Dirichlet eigenvalue problem, the finite element method and graph theory / Hajime Urakawa -- http://www.ams.org/conm/348/ http://dx.doi.org/10.1090/conm/348/06325 A numerical method for the discontinuous solutions of Abel integral equations / J. Cheng, Y. C. Hon and Y. B. Wang -- http://www.ams.org/conm/348/ http://dx.doi.org/10.1090/conm/348/06326

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Includes bibliographical references.

On the determination of wave speed and potential in a hyperbolic equation by two measurements / V. G. Romanov and M. Yamamoto -- Focusing waves in electromagnetic inverse problems / Yaroslav Kurylev, Matti Lassas and Erkki Somersalo -- Reconstruction of conductivity inhomogeneities of small diameter via boundary measurements / Habib Ammari and Hyeonbae Kang -- Unique determination of inhomogeneity in a stationary isotropic Lam�e system with variable coefficients / Sungwhan Kim and Masahiro Yamamoto -- Mittag-Leffler's function and extracting from Cauchy data / Masaru Ikehata -- On the inverse boundary value problem for linear isotropic elasticity and Cauchy-Riemann systems / Gregory Eskin and James Ralston -- Pointwise reconstruction of the jump at the boundaries of inclusions / Masaru Ikehata and Gen Nakamura -- Constant parameters identification problems of coupled sine-Gordon equations / Shin-ichi Nakagiri and Junhong Ha -- Inverse problem for harmonic oscillator perturbed by potential / Dmitri Chelkak, Pavel Kargaev and Evgeni Korotyaev -- Some transforms in potential scattering in odd dimension / Anders Melin -- Inverse problems in $N$-body scattering / Gunther Uhlmann and Andr�as Vasy -- Asymptotics of heat kernels on nilpotent coverings and related topics / Atsushi Katsuda -- Eigenvalues associated with a periodic orbit of the magnetic flow / Ruishi Kuwabara -- Inverse problems and hyperbolic manifolds / Hiroshi Isozaki -- Reconstruction of measurable plane sets from their orthogonal projections / Takashi Takiguchi -- A numerical computation for inverse boundary value problems by using the adjoint method / Kentaro Iijima, Kenji Shirota and Kazuei Onishi -- The Dirichlet eigenvalue problem, the finite element method and graph theory / Hajime Urakawa -- A numerical method for the discontinuous solutions of Abel integral equations / J. Cheng, Y. C. Hon and Y. B. Wang --