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 Advanced Studies in Pure Mathematics 1994; 322 pp; hardcover Volume: 23 ISBN-10: 4-314-10107-5 ISBN-13: 978-4-314-10107-3 List Price: US$83 Member Price: US$66.40 Order Code: ASPM/23 This book contains the proceedings from a conference on Spectral and Scattering Theory, held in July 1992 at Tokyo Institute of Technology, in celebration of the sixtieth birthday of ShigeToshi Kuroda. The book is an up-to-date guide to recent results in spectral and scattering theory and applications to linear and nonlinear equations. Among the application areas covered are Schrödinger and wave equations, Boltzmann and MHD equations, and elliptic and parabolic equations. Abstract spectral theory is also discussed. This book presents many interesting and important new results as well as comprehensive surveys by leading experts in the field. This book is aimed at mathematicians and graduate students in operator theory, partial differential equations, mathematical physics, and applied mathematics, in addition to physicists and chemists working in such areas as atomic or molecular physics. Volumes in this series are freely available electronically 5 years post-publication. Published for the Mathematical Society of Japan by Kinokuniya, Tokyo, and distributed worldwide, except in Japan, by the AMS. Readership Mathematicians and graduate students in operator theory, partial differential equations, mathematical physics, and applied mathematics, in addition to physicists and chemists working in such areas as atomic or molecular physics. Table of Contents A. Arai -- Analysis on anticommuting self-adjoint operators P. A. Deift and X. Zhou -- Asymptotics for the Painlevé II equation: Announcement of results W. D. Evans, R. T. Lewis, and Y. Saitō -- Eigenvalue properties of Schrödinger operators D. Fujiwara -- Stationary phase method with estimate of remainder term over a space of large dimension C. Gérard, H. Isozaki, and E. Skibsted -- Commutator algebra and resolvent estimates J. Ginibre -- Scattering theory in the energy space for a class of nonlinear wave equations R. T. Glassey and W. A. Strauss -- The relativistic Boltzmann equation near equilibrium B. Helffer -- On spectral theory for Schrödinger operators with magnetic potentials H. Hirata -- $$H^1$$-blow up solutions for Peker-Choquard type Schrödinger equations M. Ikawa -- On scattering by two degenerate convex bodies T. Itoh -- Blowing-up behavior for solutions of nonlinear elliptic equations A. Jensen and S. Nakamura -- Mapping properties of functions of Schrödinger operators between $$L^p$$-spaces and Besov spaces T. Kako -- Absolute continuity of the essential spectrum for some linearized MHD operator K. Kato -- Singularities of solutions to system of wave equations with different speed T. Kato -- An $$L^{q,r}$$-theory for nonlinear Schrödinger equations R. Konno -- Helmholtz-type equation on non-compact two-dimensional Riemannian manifolds K. Kurata -- On a backward estimate for solutions of parabolic differential equations and its application to unique continuation E. H. Lieb -- Large atoms in the magnetic field of a neutron star M. Murata -- Sufficient condition for non-uniqueness of the positive Cauchy problem for parabolic equations T. Ogwa and T. Suzuki -- Trudinger's inequality and related nonlinear elliptic equations in two-dimension T. Ozawa and Y. Tsutsumi -- Asymptotic behavior of solutions for the coupled Klein-Gordon-Schrödinger equations T. Suzuki -- Inverse iteration method with a complex parameter II H. Tamura -- Asymptotics for the number of negative eigenvalues of three-body Schrödinger operators with Efimov effect