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Mathematical aspects of nonlinear dispersive equations /

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...

Пълно описание

Други автори: Bourgain, Jean, 1954-, Kenig, Carlos E., 1953-, Klainerman, Sergiu, 1950-
Формат: Електронна книга
Език: English
Публикувано: Princeton : Princeton University Press, ℗♭2007.
Серия: Annals of mathematics studies ; no. 163.
Предмети:
Онлайн достъп: http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=273012
Подобни документи: Print version:: Mathematical aspects of nonlinear dispersive equations.
Съдържание:
  • On Strichartz's inequalities and the nonlinear Schro˜dinger equation on irrational Tori / J. Bourgain
  • Diffusion bound for a nonlinear Schro˜dinger equation / J. Bourgain and W.M. Wang
  • Instability of finite difference schemes for hyperbolic conservation laws / A. Bressan, P. Baiti, and H.K. Jenssen
  • Nonlinear elliptic equations with measures revisited / H. Brezis, M. Marcus, and A.C. Ponce
  • Global solutions for the nonlinear Schrodinger equation on three-dimensional compact manifolds / N. Burq, P. Gerard, and N. Tzvetkov
  • Power series solution of a nonlinear Schro˜dinger equation / M. Christ
  • Eulerian-Lagrangian formalism and vortex reconnection / P. Constantin
  • Long time existence for small data semilinear Klein-Gordon equations on spheres / J.M. Delort and J. Szeftel
  • Local and global wellposedness of periodic KP-I equations / A.D. Ionescu and C.E. Kenig
  • The cauchy problem for the Navier-Stokes equations with spatially almost periodic initial data / Y. Giga, A. Mahalov, and B. Nicolaenko
  • Longtime decay estimates for the Schro˜dinger equation on manifolds / I. Rodnianski and T. Tao
  • Dispersive estimates for Schrodinger operators : a survey / W. Schlag.