Proceedings of Symposia in Pure Mathematics 1999; 219 pp; hardcover Volume: 65 ISBN10: 0821806106 ISBN13: 9780821806104 List Price: US$50 Member Price: US$40 Order Code: PSPUM/65
 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 actionangle 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 hypoellipticity
