Mathematical Aspects of Nonlinear Dispersive Equations (AM-163) [Paperback]

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, Schr?dinger operators, nonlinear Schr?dinger and wave equations, and the Euler and Navier-Stokes equations.

Jean Bourgainis Professor of Mathematics at the Institute for Advanced Study in Princeton. In 1994, he won the Fields Medal. He is the author ofGreen's Function Estimates for Lattice Schr?dinger Operators and Applications(Princeton).Carlos E. Kenigis Professor of Mathematics at the University of Chicago. He is a fellow of the American Academy of Arts and Sciences and the author ofHarmonic Analysis Techniques for Second Order Elliptic Boundary Value Problems.S. Klainermanis Professor of Mathematics at Princeton University. He is a MacArthur Fellow and Bocher Prize recipient. He is the coauthor ofThe Global Nonlinear Stability of the Minkowski Space(Princeton). The volume contains valuable contributions to the area of nonlinear PDEs, making it indispensable for all researchers interested in partial differential equations and their applications. ---Radu Precup,Mathematica