**Contemporary Mathematics**

Volume: 535;
2011;
213 pp;
Softcover

MSC: Primary 30; 35; 58;

Print ISBN: 978-0-8218-4948-4

Product Code: CONM/535

List Price: $83.00

Individual Member Price: $66.40

**Electronic ISBN: 978-0-8218-8214-6
Product Code: CONM/535.E**

List Price: $83.00

Individual Member Price: $66.40

# Spectral Theory and Geometric Analysis

Share this page *Edited by *
*Maxim Braverman; Leonid Friedlander; Thomas Kappeler; Peter Kuchment; Peter Topalov; Jonathan Weitsman*

This volume contains the proceedings of the conference on Spectral Theory and Geometric Analysis, held at Northeastern University, Boston, MA, from July 29–August 2, 2009, which honored Mikhail Shubin on his 65th birthday.

The papers in this volume cover important topics in spectral theory and geometric analysis such as resolutions of smooth group actions, spectral asymptotics, solutions of the Ginzburg–Landau equation, scattering theory, Riemann surfaces of infinite genus, tropical mathematics and geometric methods in the analysis of flows in porous media, and artificial black holes.

#### Table of Contents

# Table of Contents

## Spectral Theory and Geometric Analysis

- Contents v6 free
- Preface vii8 free
- Resolution of Smooth Group Actions 110 free
- Geometric Methods in the Analysis of Non-linear Flows in Porous Media 2736
- Artificial Black Holes 4352
- Semiclassical Spectral Asymptotics for a Two-Dimensional Magnetic Schrödinger Operator: The Case of Discrete Wells 5564
- Sobolev Mapping Properties of the Scattering Transform for the Schrödinger Equation 7988
- Local Spectral Asymptotics for 2D-Schrödinger Operators with Strong Magnetic Field near the Boundary 95104
- On Normalized Diffrerentials on Families of Curves of Infinite Genus 109118
- Characteristic Classes and Zeroth Order Pseudodifferential Operators 141150
- Tropical Mathematics, Idempotent Analysis, Classical Mechanics and Geometry 159168
- 1. Introduction 159168
- 2. The Maslov dequantization 160169
- 3. Semirings and semifields 162171
- 4. Idempotent analysis 162171
- 5. The superposition principle and linear problems 163172
- 6. Convolution and the Fourier–Legendre transform 166175
- 7. Idempotent functional analysis 167176
- 8. The dequantization transform, convex geometry and the Newton polytopes 178187
- 9. Dequantization of set functions and measures on metric spaces 182191
- 10. Dequantization of geometry 183192
- References 184193

- A Transversal Fredholm Property for the ∂-Neumann Problem on G-bundles 187196
- Abrikosov Lattice Solutions of the Ginzburg-Landau Equations 195204

#### Readership

Graduate students and research mathematicians interested in spectral theory and geometry analysis.