Global solutions with infinite energy for the one-dimensional Zakharov system

The one-dimensional Zakharov system is shown to have a unique global solution for data without finite energy. The proof uses the ``I-method'' introduced by Colliander, Keel, Staffilani, Takaoka, and Tao in connection with a refined bilinear Strichartz estimate.

Bibliographic Details
Main Author: Hartmut Pecher
Format: Article
Language:English
Published: Texas State University 2005-04-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2005/41/abstr.html