Mathematical Aspects of Nonlinear Dispersive Equations (AM-163) / / ed. by Jean Bourgain, Sergiu Klainerman, Carlos E. Kenig.

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...

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Bibliographic Details
Superior document:Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020
MitwirkendeR:
HerausgeberIn:
Place / Publishing House:Princeton, NJ : : Princeton University Press, , [2009]
©2007
Year of Publication:2009
Edition:Course Book
Language:English
Series:Annals of Mathematics Studies ; 163
Online Access:
Physical Description:1 online resource (296 p.)
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Table of Contents:
  • Frontmatter
  • Contents
  • Preface
  • Chapter 1. On Strichartz's Inequalities and the Nonlinear Schrödinger Equation on Irrational Tori
  • Chapter 2. Diffusion Bound for a Nonlinear Schrödinger Equation
  • Chapter 3. Instability of Finite Difference Schemes for Hyperbolic Conservation Laws
  • Chapter 4. Nonlinear Elliptic Equations with Measures Revisited
  • Chapter 5. Global Solutions for the Nonlinear Schrödinger Equation on Three-Dimensional Compact Manifolds
  • Chapter 6. Power Series Solution of a Nonlinear Schrödinger Equation
  • Chapter 7. Eulerian-Lagrangian Formalism and Vortex Reconnection
  • Chapter 8. Long Time Existence for Small Data Semilinear Klein-Gordon Equations on Spheres
  • Chapter 9. Local and Global Wellposedness of Periodic KP-I Equations
  • Chapter 10. The Cauchy Problem for the Navier-Stokes Equations with Spatially Almost Periodic Initial Data
  • Chapter 11. Longtime Decay Estimates for the Schrödinger Equation on Manifolds
  • Contributors
  • Index