Overview

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, Schrodinger operators, nonlinear Schrodinger and wave equations, and the Euler and Navier-Stokes equations.

Full Product Details

Author:   Jean Bourgain ,  Carlos E. Kenig ,  Sergiu Klainerman
Publisher:   Princeton University Press
Imprint:   Princeton University Press
Volume:   180
Dimensions:   Width: 15.20cm , Height: 1.60cm , Length: 23.50cm
Weight:   0.425kg
ISBN:  

9780691129556

ISBN 10:   069112955
Pages:   296
Publication Date:   29 April 2007
Audience:   Professional and scholarly ,  College/higher education ,  Professional & Vocational ,  Tertiary & Higher Education
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand  
We will order this item for you from a manufactured on demand supplier.
Language:   English

Table of Contents

Preface vii Chapter 1. On Strichartz's Inequalities and the Nonlinear Schrodinger Equation on Irrational Tori by J. Bourgain 1 Chapter 2. Diffusion Bound for a Nonlinear Schrodinger Equation by J. Bourgain and W.-M.Wang 21 Chapter 3. Instability of Finite Difference Schemes for Hyperbolic Conservation Laws by A. Bressan, P. Baiti, and H. K. Jenssen 43 Chapter 4. Nonlinear Elliptic Equations with Measures Revisited H. Brezis, M. Marcus, and A. C. Ponce 55 Chapter 5. Global Solutions for the Nonlinear Schrodinger Equation on Three-Dimensional Compact Manifolds by N. Burq, P. Gerard, and N. Tzvetkov 111 Chapter 6. Power Series Solution of a Nonlinear Schrodinger Equation by M. Christ 131 Chapter 7. Eulerian-Lagrangian Formalism and Vortex Reconnection by P. Constantin 157 Chapter 8. Long Time Existence for Small Data Semilinear Klein-Gordon Equations on Spheres by J.-M. Delort and J. Szeftel 171 Chapter 9. Local and GlobalWellposedness of Periodic KP-I Equations by A. D. Ionescu and C. E. Kenig 181 Chapter 10. The Cauchy Problem for the Navier-Stokes Equations with Spatially Almost Periodic Initial Data by Y. Giga, A. Mahalov, and B. Nicolaenko 213 Chapter 11. Longtime Decay Estimates for the Schrodinger Equation on Manifolds by I. Rodnianski and T. Tao 223 Chapter 12. Dispersive Estimates for Schrodinger Operators: A Survey by W. Schlag 255 Contributors 287 Index 291

Reviews

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

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 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

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

""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

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

Author Information

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 Schrdinger 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 MacArthur Fellow and Bocher Prize recipient. He is the coauthor of The Global Nonlinear Stability of the Minkowski Space (Princeton).

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