Hartmut Pecher
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
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| Hartmut Pecher Fachbereich Mathematik und Naturwissenschaften Bergische Universitat Wuppertal Gaustr. 20, D-42097 Wuppertal, Germany email: Hartmut.Pecher@math.uni-wuppertal.de |
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