Contemporary Mathematics 2003; 387 pp; softcover Volume: 327 ISBN10: 0821832964 ISBN13: 9780821832967 List Price: US$109 Member Price: US$87.20 Order Code: CONM/327
 This volume presents the proceedings of the 9th International Conference on Differential Equations and Mathematical Physics. It contains 29 research and survey papers contributed by conference participants. The conference provided researchers a forum to present and discuss their recent results in a broad range of areas encompassing the theory of differential equations and their applications in mathematical physics. Papers in this volume represent some of the most interesting results and the major areas of research that were covered, including spectral theory with applications to nonrelativistic and relativistic quantum mechanics, including timedependent and random potential, resonances, many body systems, pseudodifferential operators and quantum dynamics, inverse spectral and scattering problems, the theory of linear and nonlinear partial differential equations with applications in fluid dynamics, conservation laws and numerical simulations, as well as equilibrium and nonequilibrium statistical mechanics. The volume is intended for graduate students and researchers interested in mathematical physics. Readership Graduate students and researchers interested in mathematical physics. Table of Contents  A. A. Balinsky and W. D. Evans  Zero modes of Pauli and WeylDirac operators
 R. D. Benguria  The LaneEmden equation revisited
 C. Bennewitz  A PaleyWiener theorem with applications to inverse spectral theory
 B. M. Brown and M. S. P. Eastham  Zerofree regions for Jost functions: The Bessel case
 G.Q. Chen  Concentration in solutions to hyperbolic conservation laws
 J.M. Combes, P. D. Hislop, and F. Klopp  Local and global continuity of the integrated density of states
 O. Costin, R. D. Costin, and J. L. Lebowitz  Transition to the continuum of a particle in timeperiodic potentials
 D. Damanik  Quantum dynamical bounds for onedimensional quasicrystals
 D. Gioev  Lower order terms in Szegö theorems on Zoll manifolds
 J. Glimm, S. Hou, Y.H. Lee, D. H. Sharp, and K. Ye  Solution error models for uncertainty quantification
 J. A. Goldstein and I. Kombe  Instantaneous blow up
 G. A. Hagedorn  Simplified semiclassical propagation estimates
 M. Hitrik and I. Polterovich  Resolvent expansions and trace regularizations for Schrödinger operators
 V. Jakšić and C.A. Pillet  A note on the entropy production formula
 V. Kostrykin, K. A. Makarov, and A. K. Motovilov  Existence and uniqueness of solutions to the operator Riccati equation. A geometric approach
 P. Kuchment and H. Zeng  Asymptotics of spectra of Neumann Laplacians in thin domains
 A. Laptev and O. Safronov  Absolutely continuous spectrum of matrix valued Schrödinger operators
 D. Lenz  Ergodic theory and discrete onedimensional random Schrödinger operators: Uniform existence of the Lyapunov exponent
 E. H. Lieb and R. Seiringer  BoseEinstein condensation of dilute gases in traps
 B. Nachtergaele, W. L. Spitzer, and S. Starr  On the dynamics of interfaces in the ferromagnetic XXZ chain under weak perturbations
 N. Pavlović  Bounds for sums of powers of eigenvalues of Schrödinger operators via the commutation method
 L. ReyBellet  Statistical mechanics of anharmonic lattices
 R. Shvidkoy and Y. Latushkin  The essential spectrum of the linearized 2d Euler operator is a vertical band
 J. P. Solovej and W. L. Spitzer  New coherent states and a new proof of the Scott correction
 B. Su  Remark on weak solutions of stationary conductionconvection problems
 V. Tkachenko  Spectrum of 1d selfadjoint periodic differential operator of order 4
 K. Trivisa  BV estimates for \(n x n\) systems of conservation laws
 R. Weder  The timedependent approach to inverse scattering
 R. Young  Blowup in hyperbolic conservation laws
