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Advances in Differential Equations and Mathematical Physics
Edited by: Yulia Karpeshina, Günter Stolz, Rudi Weikard, and Yanni Zeng, University of Alabama, Birmingham, AL

Contemporary Mathematics
2003; 387 pp; softcover
Volume: 327
ISBN-10: 0-8218-3296-4
ISBN-13: 978-0-8218-3296-7
List Price: US$109
Member Price: US$87.20
Order Code: CONM/327
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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 non-relativistic and relativistic quantum mechanics, including time-dependent 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.


Graduate students and researchers interested in mathematical physics.

Table of Contents

  • A. A. Balinsky and W. D. Evans -- Zero modes of Pauli and Weyl-Dirac operators
  • R. D. Benguria -- The Lane-Emden equation revisited
  • C. Bennewitz -- A Paley-Wiener theorem with applications to inverse spectral theory
  • B. M. Brown and M. S. P. Eastham -- Zero-free 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 time-periodic potentials
  • D. Damanik -- Quantum dynamical bounds for one-dimensional 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 one-dimensional random Schrödinger operators: Uniform existence of the Lyapunov exponent
  • E. H. Lieb and R. Seiringer -- Bose-Einstein 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. Rey-Bellet -- 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 conduction-convection problems
  • V. Tkachenko -- Spectrum of 1-d selfadjoint periodic differential operator of order 4
  • K. Trivisa -- BV estimates for \(n x n\) systems of conservation laws
  • R. Weder -- The time-dependent approach to inverse scattering
  • R. Young -- Blowup in hyperbolic conservation laws
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