Differential equations : La Pietra 1996 : Conference on Differential Equations marking the 70th birthdays of Peter Lax and Louis Nirenberg, July 3-7, 1996, Villa La Pietra, Florence, Italy

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Differential equations : La Pietra 1996 : Conference on Differential Equations marking the 70th birthdays of Peter Lax and Louis Nirenberg, July 3-7, 1996, Villa La Pietra, Florence, Italy

M. Giaquinta, J. Shatah, S.R.S. Varadhan, editors

(Proceedings of symposia in pure mathematics, v. 65)

American Mathematical Society, c1999

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Includes bibliographical references

Description and Table of Contents

Description

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.

Table of Contents

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

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