Inverse scattering and applications : proceedings of a Conference on Inverse Scattering on the Line, held June 7-13, 1990 at the University of Massachusetts, Amherst, with support from the National Science Foundation, the National Security Agency, and the Office of Naval Research

Bibliographic Information

Inverse scattering and applications : proceedings of a Conference on Inverse Scattering on the Line, held June 7-13, 1990 at the University of Massachusetts, Amherst, with support from the National Science Foundation, the National Security Agency, and the Office of Naval Research

D.H. Sattinger, C.A. Tracy, S. Venakides, editors

(Contemporary mathematics, 122)

American Mathematical Society, c1991

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"The AMS-IMS-SIAM Joint Summer Research Conference in the Mathematical Sciences on Inverse Scattering on the Line was held at the University of Massachusetts, Amherst, Massachusetts, on June 7-June 13, 1990"--T.p. verso

Includes bibliographical references

Description and Table of Contents

Description

This book contains the proceedings of an AMS-IMS-SIAM Summer Institute on Inverse Scattering and Applications, held in Amherst, Massachusetts, in June 1990. The papers cover the current state of the art in inverse conductivity problems, applications of inverse scattering theory to integrable systems, three-dimensional inverse scattering, inverse monodromy problems, and nonlinear waves, among other topics. Intended for researchers working in inverse scattering theory, inverse conductance problems, and completely integrable systems, this book presents results by some of the major experts in the field.

Table of Contents

Wiener-Hopf factorization in multidimensional inverse Schrodinger scattering by T. Aktosun and C. van der Mee Complete integrability of "Completely Integrable" systems by R. Beals and D. Sattinger On the determinant theme for tau functions, Grassmannians, and inverse scattering by R. Carroll An overview of inversion algorithms for impedance imaging by M. Cheney and D. Isaacson On the construction of integrable XXZ Heisenberg models with arbitrary spin by H. Frahm A geometric construction of solutions of matrix hierarchies by G. F. Helminck Lax pairs, recursion operators, and the perturbation of nonlinear evolution equations by R. Herman Time and temperature dependent correlation function of an impenetrable Bose gas field correlator in the impenetrable Bose gas by A. R. Its, A. G. Izergin, and V. E. Korepin Breathers and the sine-Gordon equation by S. Kichenassamy Localized solitons for the Ishimori equation by B. G. Konopelchenko and V. G. Dubrovsky Tau functions by J. Palmer Inverse problems in anisotropic media by J. Sylvester and G. Uhlmann The Toda shock problem by S. Venakides.

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