**Proceedings of Symposia in Pure Mathematics**

Volume: 65;
1999;
219 pp;
Hardcover

MSC: Primary 35; 49; 28; 58;

**Print ISBN: 978-0-8218-0610-4
Product Code: PSPUM/65**

List Price: $53.00

AMS Member Price: $42.40

MAA Member Price: $47.70

**Electronic ISBN: 978-0-8218-9369-2
Product Code: PSPUM/65.E**

List Price: $50.00

AMS Member Price: $40.00

MAA Member Price: $45.00

# Differential Equations: La Pietra 1996

Share this page *Edited by *
*M. Giaquinta; J. Shatah; S. R. S. Varadhan*

This volume contains the proceedings of a conference held in celebration of the seventieth birthdays of Peter Lax and Louis Nirenberg at Villa la Pietra in Florence (Italy). Speakers from around the world gave talks on subjects related to the mathematical areas in which Lax and Nirenberg worked: analysis, partial differential equations, applied mathematics and scientific computing. The two men played seminal roles in these areas and had significant influence on the development of many other mathematicians. This volume gives testament to the major role played by Lax and Nirenberg in the development of mathematical analysis.

#### Readership

Graduate students and research mathematicians working in partial differential equations, computer science, and analysis.

# Table of Contents

## Differential Equations: La Pietra 1996

- Contents vii8 free
- Preface ix10 free
- Symmetry in nonlinear PDE's 114 free
- Viscosity solutions for the porous medium equation 1326
- Symplectic geometry and partial differential equations 2740
- Decomposition of a metric space by capacitors 3952
- Holomorphic curves in contact dynamics 7790
- On the forced Burgers equation with periodic boundary conditions 133146
- A novel aspect of action-angle variables 155168
- Scattering theory for strictly pseudoconvex domains 161174
- A sample of Lax's contributions to classical analysis, linear partial differential equations and scattering theory 169182
- Minimizing volume among Lagrangian submanifolds 181194
- Symplectic geometry and analytic hypo-ellipticity 201214