This collection of new and original papers on mathematical aspects of nonlinear dispersive equations includes both expository and technical papers that reflect a number of recent advances in the field. The expository papers describe the state of the art and research directions. The technical papers concentrate on a specific problem and the related analysis and are addressed to active researchers.
The book deals with many topics that have been the focus of intensive research and, in several cases, significant progress in recent years, including hyperbolic conservation laws, Schrödinger operators, nonlinear Schrödinger and wave equations, and the Euler and Navier-Stokes equations.
Giới thiệu về tác giả
Jean Bourgain is Professor of Mathematics at the Institute for Advanced Study in Princeton. In 1994, he won the Fields Medal. He is the author of
Green’s Function Estimates for Lattice Schrödinger Operators and Applications (Princeton).
Carlos E. Kenig is Professor of Mathematics at the University of Chicago. He is a fellow of the American Academy of Arts and Sciences and the author of
Harmonic Analysis Techniques for Second Order Elliptic Boundary Value Problems.
S. Klainerman is Professor of Mathematics at Princeton University. He is a Mac Arthur Fellow and Bocher Prize recipient. He is the coauthor of
The Global Nonlinear Stability of the Minkowski Space (Princeton).