Electronic Journal of Differential Equations,
Vol. 2005(2005), No. 41, pp. 1-18.

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

Author: Hartmut Pecher (Bergische Univ., Wuppertal, Germany)

Abstract: 
  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.
 
Submitted January 11, 2005. Published April 5, 2005.
Math Subject Classifications: 35Q55, 35L05.
Key Words: Zakharov system; global solutions; 
    Fourier restriction norm method