**Contemporary Mathematics**

Volume: 217;
1998;
221 pp;
Softcover

MSC: Primary 35; 60; 81; 82;

Print ISBN: 978-0-8218-0861-0

Product Code: CONM/217

List Price: $56.00

Individual Member Price: $44.80

**Electronic ISBN: 978-0-8218-7809-5
Product Code: CONM/217.E**

List Price: $56.00

Individual Member Price: $44.80

# Advances in Differential Equations and Mathematical Physics

Share this page *Edited by *
*Eric Carlen; Evans M. Harrell; Michael Loss*

This volume consists of selected contributions from the “Georgia Institute of Technology-UAB International Conference on Differential Equations and Mathematical Physics”. The book offers a combination of certain emerging topics and important research advances in this active area. The topics range widely and include magnetic Schrödinger operators, the Boltzmann equations, nonlinear variational problems, and noncommutative probability theory. Some articles were included for their aesthetic value and others to present an overview. All articles were reviewed for scientific content and readability. The text is suitable for graduate and advanced graduate courses and seminars on the topic.

#### Readership

Graduate students, research mathematicians and physicists working in mathematical physics, applied mathematics, analysis, and differential equations.

# Table of Contents

## Advances in Differential Equations and Mathematical Physics

- Contents vii8 free
- Preface ix10 free
- A variational method for nonlinear eigenvalue problems 112 free
- Maximum and anti-maximum principles for some elliptic problems 1930
- On the nodal line conjecture 3344
- On Fundamental solution of time dependent Schrödinger equations 4960
- Laterally coupled quantum waveguides 6980
- Some mathematical problems in passive advection 8394
- Stability and instability of relativistic electrons in classical electromagnetic fields 99110
- A simple one-dimensional model for atoms in strong magnetic fields 109120
- Geometric methods for many-particle Hamiltonians with magnetic fields 121132
- Linear Boltzmann equation as scaling limit of quantum Lorentz gas 137148
- Multiscattering on sparse bumps 157168
- Purely continuous spectrum for generic almost-periodic potential 183194
- Correlated Wegner inequalities for random Schrödinger operators 191202
- Logarithmic energy as an entropy functional 205216