Mathematical aspects of nonlinear dispersive equations / Jean Bourgain, Carlos E. Kenig, and S. Klainerman, editors.

Format:

Book

Contributor:

Bourgain, Jean, 1954-2018

Kenig, Carlos E., 1953-

Klainerman, Sergiu, 1950-

Series:

Annals of mathematics studies ; no. 163.

Annals of mathematics studies ; no. 163

Language:

English

Subjects (All):

Differential equations, Nonlinear--Congresses.

Nonlinear partial differential operators--Congresses.

Physical Description:

1 online resource (309 p.)

Edition:

Course Book

Place of Publication:

Princeton : Princeton University Press, 2007.

Language Note:

English

Summary:

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.

Contents:

Frontmatter

Contents

Preface

Chapter 1. On Strichartz's Inequalities and the Nonlinear Schrödinger Equation on Irrational Tori / Bourgain, J.

Chapter 2. Diffusion Bound for a Nonlinear Schrödinger Equation / Bourgain, J. / Wang, W.-M.

Chapter 3. Instability of Finite Difference Schemes for Hyperbolic Conservation Laws / Bressan, A. / Baiti, P. / Jenssen, H. K.

Chapter 4. Nonlinear Elliptic Equations with Measures Revisited / Brezis, H. / Marcus, M. / Ponce, A. C.

Chapter 5. Global Solutions for the Nonlinear Schrödinger Equation on Three-Dimensional Compact Manifolds / Burq, N. / Gérard, P. / Tzvetkov, N.

Chapter 6. Power Series Solution of a Nonlinear Schrödinger Equation / Christ, M.

Chapter 7. Eulerian-Lagrangian Formalism and Vortex Reconnection / Constantin, P.

Chapter 8. Long Time Existence for Small Data Semilinear Klein-Gordon Equations on Spheres / Delort, J.-M. / Szeftel, J.

Chapter 9. Local and Global Wellposedness of Periodic KP-I Equations / Ionescu, A. D. / Kenig, C. E.

Chapter 10. The Cauchy Problem for the Navier-Stokes Equations with Spatially Almost Periodic Initial Data / Giga, Y. / Mahalov, A. / Nicolaenko, B.

Chapter 11. Longtime Decay Estimates for the Schrödinger Equation on Manifolds / Rodnianski, I. / Tao, T.

Contributors

Index

Notes:

Description based upon print version of record.

Includes bibliographical references and index.

ISBN:

9786612129605

9781282129603

1282129600

9781400827794

1400827795

OCLC:

368362893