AMS/IP Studies in Advanced Mathematics 2000; 461 pp; softcover Volume: 16 ISBN10: 0821821571 ISBN13: 9780821821572 List Price: US$68 Member Price: US$54.40 Order Code: AMSIP/16
 This volume contains the proceedings of the 1999 International Conference on Differential Equations and Mathematical Physics. The contributions selected for this volume represent some of the most important presentations by scholars from around the world on developments in this area of research. The papers cover topics in the general area of linear and nonlinear differential equations and their relation to mathematical physics, such as multiparticle Schrödinger operators, stability of matter, relativity theory, fluid dynamics, spectral and scattering theory including inverse problems. Titles in this series are copublished with International Press, Cambridge, MA. Readership Researchers and graduate students interested in differential equations and mathematical physics. Table of Contents  A. A. Balinsky and W. D. Evans  On the BrownRavenhall relativistic Hamiltonian and the stability of matter
 R. Bartnik  Assessing accuracy in a numerical Einstein solver
 R. D. Benguria and M. C. Depassier  Variational principle for the limit cycle of Rayleigh's equation
 B. K. Berger  Approach to the singularity in spatially inhomogeneous cosmologies
 M. Sh. Birman and T. A. Suslina  On the absolute continuity of the periodic Schrödinger and Dirac operators with magnetic potential
 T. Bodineau and B. Helffer  Correlations, spectral gap and logSobolev inequalities for unbounded spins systems
 R. Brummelhuis, M. B. Ruskai, and E. Werner  One dimensional regularizations of the Coulomb potential with application to atoms in strong magnetic fields
 D. Chae and O. Yu. Imanuvilov  Construction of a solution to the semilinear elliptic equation in ChernSimons gauge theory
 M. Christ, A. Kiselev, and Y. Last  Approximate eigenvectors and spectral theory
 D. Christodoulou  The initial value problem in the large and spacetime singularities
 L. Erdős and J. P. Solovej  On the kernel of \(Spin^c\) Dirac operators on \(\mathbb S^3\) and \(\mathbb{R}^3\)
 R. Froese and I. Herbst  Realizing holonomic constraints in classical and quantum mechanics
 F. Gesztesy and H. Holden  A combined sineGordon and modified Kortewegde Vries hierarchy and its algebrogeometric solutions
 M. Griesemer  A minimax principle for eigenvalues in spectral gaps
 G. A. Hagedorn and A. Joye  Semiclassical dynamics and exponential asymptotics
 R. Hempel and K. Lienau  Genericity of the bandgap structure of periodic media in the large coupling limit
 A. M. Hinz  Distribution of eigenvalues in the dense point spectrum of Schrödinger operators
 P. D. Hislop  On the distribution of scattering resonances for asymptotically hyperbolic manifolds
 T. Hupfer, H. Leschke, and S. Warzel  The multiformity of Lifshits tails caused by random Landau Hamiltonians with repulsive impurity potentials of different decay at infinity
 W. Karwowski and V. Koshmanenko  Schrödinger operator perturbed by dynamics of lower dimension
 Y. V. Kurylev and M. Lassas  Hyperbolic inverse problem with data on a part of the boundary
 Y. Li  Best Sobolev inequalities on Riemannian manifolds
 E. H. Lieb and M. Loss  Selfenergy of electrons in nonperturbative QED
 E. H. Lieb and J. Yngvason  The ground state energy of a dilute Bose gas
 M. Ohmiya  Trace formulae and completely integrable Hamiltonians
 Y. Pinchover  On the maximum and antimaximum principles
 T. C. Sideris  The null condition and global existence of nonlinear elastic waves
 H. Siedentop  The HartreeFock approximation in quantum electrodynamicsPositivity of the energy
 J. A. Smoller and J. B. Temple  Shockwave cosmology
 S. B. Sontz  On some reverse inequalities in the SegalBargmann space
 G. Teschl  On the initial value problem of the Toda and Kacvan Moerbeke hierarchies
 V. Tkachenko  A class of nonselfadjoint Hill's operators with analytic potentials
 M. M. Tom  Regularized long waveKP models
 C. Tretter  Spectral issues for block operator matrices
 J. A. Viaclovsky  Some fully nonlinear equations in conformal geometry
 R. Weder  \(L^p  L^{\acute{p}}\) estimates for the Schrödinger equation and inverse scattering
 G. Wolanski  Stationary states of Vlasov system
