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

• H. Brezis -- Symmetry in nonlinear PDE's
• L. Caffarelli and J. L. Vazquez -- Viscosity solutions for the porous medium equation
• D. Christodoulou -- Symplectic geometry and partial differential equations
• A. Grigor'yan and S.-T. Yau -- Decomposition of a metric space by capacitors
• H. Hofer and M. Kriener -- Holomorphic curves in contact dynamics
• H. R. Jauslin, H. O. Kreiss, and J. Moser -- On the forced Burgers equation with periodic boundary conditions
• H. P. McKean -- A novel aspect of action-angle variables
• R. Melrose -- Scattering theory for strictly pseudoconvex domains
• P. Sarnak -- A sample of Lax's contributions to classical analysis, linear partial differential equations and scattering theory
• R. Schoen and J. Wolfson -- Minimizing volume among Lagrangian submanifolds
• F. Treves -- Symplectic geometry and analytic hypo-ellipticity