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

Rights Holder

Rights License