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Spectral and Scattering Theory (Paperback, Softcover reprint of the original 1st ed. 1998)
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Spectral and Scattering Theory (Paperback, Softcover reprint of the original 1st ed. 1998)
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In this volume selected papers delivered at the special session on
"Spectral and scattering theory" are published. This session was
organized by A. G. Ramm at the first international congress ofISAAC
(International Society for Analysis, Applications and Computing)
which was held at the University of Delaware, June 3-7, 1997. The
papers in this volume deal with a wide va riety of problems
including some nonlinear problems (Schechter, Trenogin), control
theory (Shubov), fundamental problems of physics (Kitada), spectral
and scattering theory in waveg uides and shallow ocean (Ramm and
Makrakis), inverse scattering with incomplete data (Ramm), spectral
theory for Sturm-Liouville operators with singular coefficients
(Yurko) and with energy-dependent coefficients (Aktosun, Klaus, and
van der Mee), spectral theory of SchrOdinger operators with
periodic coefficients (Kuchment, Vainberg), resolvent estimates for
SchrOdinger-type and Maxwell's operators (Ben-Artzi and
Nemirovsky), SchrOdinger oper ators with von Neumann-Wignertype
potentials (Rejto and Taboada), principal eigenvalues for
indefinite-weight elliptic operators (pinchover), and symmetric
solutions of Ginzburg-Landau equations (Gustafson). These papers
will be of interest to a wide audience including mathematicians,
physicists, and theoretically oriented engineers. A. G. Ramm
Manhattan, KS v CONTENTS 1. Wave Scattering in 1-0 Nonconservative
Media . . . . . . . . . . . . . . . . . . . Tuncay Aktosun, Martin
Klaus, and Comelis van der Mee 2. Resolvent Estimates for
SchrOdinger-type and Maxwell Equations with Applications . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
19 Matania Ben-Artzi and Jonathan Nemirovsky 3. Symmetric Solutions
of Ginzburg-Landau Equations 33 S. Gustafson 4. Quantum Mechanics
and Relativity: Their Unification by Local Time . . . . . . . 39
Hitoshi Kitada 5."
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