# Advances in Differential Equations and Mathematical Physics

### About this Volume

Edited by: Yulia Karpeshina, Rudi Weikard and Yanni Zeng

Publication Year
2003: Volume: 327

ISBNs: 978-0-8218-3296-7 (print); 978-0-8218-7917-7 (online)

DOI: http://dx.doi.org/10.1090/conm/327

### Table of Contents

**Front/Back Matter**

**Articles**

- A. A. Balinsky and W. D. Evans – Zero modes of Pauli and Weyl-Dirac operators
- Rafael D. Benguria – The Lane-Emden equation revisited
- Christer 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
- Gui-Qiang 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
- David Damanik – Quantum dynamical bounds for one-dimensional quasicrystals
- Dimitri Gioev – Lower order terms in Szegő theorems on Zoll manifolds
- J. Glimm, S. Hou, Y.-H. Lee, D. H. Sharp and K. Ye – Solution error models for uncertainty quantification
- Jerome A. Goldstein and Ismail Kombe – Instantaneous blow up
- George A. Hagedorn – Simplified semiclassical propagation estimates
- Michael Hitrik and Iosif Polterovich – Resolvent expansions and trace regularizations for Schrödinger operators
- Vojkan Jakšić and Claude-Alain Pillet – A note on the entropy production formula
- Vadim Kostrykin, Konstantin A. Makarov and Alexander K. Motovilov – Existence and uniqueness of solutions to the operator Riccati equation. A geometric approach
- Peter Kuchment and Hongbiao Zeng – Asymptotics of spectra of Neumann Laplacians in thin domains
- Ari Laptev and Oleg Safronov – Absolutely continuous spectrum of matrix valued Schrödinger operators
- Daniel Lenz – Ergodic theory and discrete one-dimensional random Schrödinger operators: uniform existence of the Lyapunov exponent
- Elliott H. Lieb and Robert Seiringer – Bose-Einstein condensation of dilute gases in traps
- Bruno Nachtergaele, Wolfgang L. Spitzer and Shannon Starr – On the dynamics of interfaces in the ferromagnetic $XXZ$ chain under weak perturbations
- Nataša Pavlović – Bounds for sums of powers of eigenvalues of Schrödinger operators via the commutation method
- Luc Rey-Bellet – Statistical mechanics of anharmonic lattices
- Roman Shvidkoy and Yuri Latushkin – The essential spectrum of the linearized 2D Euler operator is a vertical band
- Jan Philip Solovej and Wolfgang L. Spitzer – New coherent states and a new proof of the Scott correction
- Bo Su – Remark on weak solutions of stationary conduction-convection problems
- V. Tkachenko – Spectrum of 1-d selfadjoint periodic differential operator of order 4
- Konstantina Trivisa – BV estimates for $n\times n$ systems of conservation laws
- Ricardo Weder – The time-dependent approach to inverse scattering
- Robin Young – Blowup in hyperbolic conservation laws