**Contemporary Mathematics**

Volume: 362;
2004;
410 pp;
Softcover

MSC: Primary 05; 35; 58; 78; 81;

Print ISBN: 978-0-8218-3448-0

Product Code: CONM/362

List Price: $109.00

Individual Member Price: $87.20

**Electronic ISBN: 978-0-8218-7952-8
Product Code: CONM/362.E**

List Price: $109.00

Individual Member Price: $87.20

# Partial Differential Equations and Inverse Problems

Share this page *Edited by *
*Carlos Conca; Raúl Manásevich; Gunther Uhlmann; Michael S. Vogelius*

This collection of articles from the Proceedings of the Pan-American Advanced Studies Institute reflects recent developments in partial differential equations, nonlinear analysis and inverse problems.

Interactions among these topics have produced remarkable developments over the last couple of decades. This volume contains survey articles reflecting the work of leading experts who presented minicourses at the event. Contributors include J. Busca, Y. Capdeboscq, M.S. Vogelius, F. A. Grünbaum, L. F. Matusevich, M. de Hoop, and P. Kuchment.

The volume is suitable for graduate students and researchers interested in partial differential equations and their applications in nonlinear analysis and inverse problems.

#### Table of Contents

# Table of Contents

## Partial Differential Equations and Inverse Problems

- Contents v6 free
- Preface vii8 free
- List of Participants ix10 free
- Inverse Scattering on the Line with Incomplete Scattering Data 116 free
- On Universal Inequalities for the Low Eingenvalues of the Buckling Problem 1328
- Continuous and Discrete Inverse Conductivity Problems 3348
- Connection between the Lieb-Thirring Conjecture for Schrödinger Operators and an Isoperimetric Problem for Ovals on the Plane 5368
- A Review of Some Recent Work on Impedance Imaging for Inhomogeneities of Low Volume Fraction 6984
- Matrix Bispectrality and Huygens' Principle for Dirac Operators 89104
- Well-Posedness for the Schrödinger-Debye Equation 113128
- On Domains for which the Clamped Plate System is Positivity Preserving 133148
- Entropy Dissipation and Wasserstein Metric Methods for the Viscous Burgers' Equation: Convergence to Diffusive Waves 145160
- Remarks about the Flashing Rachet 167182
- A Least Action Principle for Steepest Descent in a Non-Convex Landscape 177192
- A Network Tomography Problem Related to the Hypercube 189204
- The Downward Continuation Approach to Modeling and Inverse Scattering of Seismic Data in the Kirchhoff Approximation. 211226
- On Some Spectral Problems of Mathematical Physics 241256
- Inverse Problem for a Random Potential 277292
- Pseudodifferential Analysis for the Laplacian on Noncompact Symmetric Spaces. 289304
- Unique Continuation Property for Elliptic Systems and Crack Determination in Anisotropic Elasticity 321336
- Duality in Sub-Supercritical Bubbling in the Brezis-Nirenberg Problem near the Critical Exponent. 339354
- High-Order Domain Variations in Boundary Value and Free Boundary Problems 351366
- Interactive Oscillation Sources in Signorini's Type Problems 381396
- A Local Borg-Marchenko Theorem for Difference Equations with Complex Coefficients. 403418

#### Readership

Graduate students and research mathematicians interested in partial differential equations and their applications in nonlinear analysis and inverse problems.