**Contemporary Mathematics**

Volume: 327;
2003;
387 pp;
Softcover

MSC: Primary 34; 35; 76; 81; 82;

Print ISBN: 978-0-8218-3296-7

Product Code: CONM/327

List Price: $109.00

Individual Member Price: $87.20

**Electronic ISBN: 978-0-8218-7917-7
Product Code: CONM/327.E**

List Price: $109.00

Individual Member Price: $87.20

# Advances in Differential Equations and Mathematical Physics

Share this page *Edited by *
*Yulia Karpeshina; Günter Stolz; Rudi Weikard; Yanni Zeng*

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.

#### Table of Contents

# Table of Contents

## Advances in Differential Equations and Mathematical Physics

- Contents iii4 free
- Preface v6 free
- List of Plenary Speakers vii8 free
- List of Special Sessions ix10 free
- List of Participants xi12 free
- Zero modes of Pauli and Weyl-Dirac operators 122 free
- The Lane-Emden equation revisited 1132
- A Paley-Wiener theorem with applications to inverse spectral theory 2142
- Zero-free regions for Jost functions: The Bessel case 3354
- Concentration in solutions to hyperbolic conservation laws 4162
- Local and global continuity of the integrated density of states 6182
- Transition to the continuum of a particle in time-periodic potentials 7596
- Quantum dynamical bounds for one-dimensional quasicrystals 87108
- Lower order terms in Szegö theorems on Zoll manifolds 99120
- Solution error models for uncertainty quantification 115136
- Instantaneous blow up 141162
- Simplified semiclassical propagation estimates 151172
- Resolvent expansions and trace regularizations for Schrödinger operators 161182
- A note on the entropy production formula 175196
- Existence and uniqueness of solutions to the operator Riccati equation. A geometric approach 181202
- Asymptotics of spectra of Neumann Laplacians in thin domains 199220
- Absolutely continuous spectrum of matrix valued Schrödinger operators 215236
- Ergodic theory and discrete one-dimensional random Schrödinger operators: Uniform existence of the Lyapunov exponent 223244
- Bose-Einstein condensation of dilute gases in traps 239260
- On the dynamics of interfaces in the ferromagnetic XXZ chain under weak perturbations 251272
- Bounds for sums of powers of eigenvalues of Schrödinger operators via the commutation method 271292
- Statistical mechanics of anharmonic lattices 283304
- The essential spectrum of the linearized 2D Euler operator is a vertical band 299320
- New coherent states and a new proof of the Scott correction 305326
- Remark on weak solutions of stationary conduction-convection problems 321342
- Spectrum of 1-d selfadjoint periodic differential operator of order 4 331352
- BV estimates for n x n systems of conservation laws 341362
- The time-dependent approach to inverse scattering 359380
- Blowup in hyperbolic conservation laws 379400

#### Readership

Graduate students and researchers interested in mathematical physics.