Global solutions with infinite energy for the one-dimensional Zakharov system
Date
2005-04-05
Authors
Pecher, Hartmut
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
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.
Description
Keywords
Zakharov system, Global solutions, Fourier restriction norm method
Citation
Pecher, H. (2005). Global solutions with infinite energy for the one-dimensional Zakharov system. <i>Electronic Journal of Differential Equations, 2005</i>(41), pp. 1-18.
Rights
Attribution 4.0 International