Advanced Studies in Pure Mathematics 1994; 322 pp; hardcover Volume: 23 ISBN10: 4314101075 ISBN13: 9784314101073 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 uptodate 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 postpublication. 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 selfadjoint 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 PekerChoquard type Schrödinger equations
 M. Ikawa  On scattering by two degenerate convex bodies
 T. Itoh  Blowingup 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  Helmholtztype equation on noncompact twodimensional 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 nonuniqueness of the positive Cauchy problem for parabolic equations
 T. Ogwa and T. Suzuki  Trudinger's inequality and related nonlinear elliptic equations in twodimension
 T. Ozawa and Y. Tsutsumi  Asymptotic behavior of solutions for the coupled KleinGordonSchrödinger equations
 T. Suzuki  Inverse iteration method with a complex parameter II
 H. Tamura  Asymptotics for the number of negative eigenvalues of threebody Schrödinger operators with Efimov effect
