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

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:
Zakharov system
global solutions
Fourier restriction norm method
Online Access:http://ejde.math.txstate.edu/Volumes/2005/41/abstr.html
id doaj-0acc6990937646c38078b8688532061b
record_format Article
spelling doaj-0acc6990937646c38078b8688532061b2020-11-25T00:23:18ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912005-04-01200541118Global solutions with infinite energy for the one-dimensional Zakharov systemHartmut PecherThe 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.http://ejde.math.txstate.edu/Volumes/2005/41/abstr.htmlZakharov systemglobal solutionsFourier restriction norm method
collection DOAJ
language English
format Article
sources DOAJ
author Hartmut Pecher
spellingShingle Hartmut Pecher
Global solutions with infinite energy for the one-dimensional Zakharov system
Electronic Journal of Differential Equations
Zakharov system
global solutions
Fourier restriction norm method
author_facet Hartmut Pecher
author_sort Hartmut Pecher
title Global solutions with infinite energy for the one-dimensional Zakharov system
title_short Global solutions with infinite energy for the one-dimensional Zakharov system
title_full Global solutions with infinite energy for the one-dimensional Zakharov system
title_fullStr Global solutions with infinite energy for the one-dimensional Zakharov system
title_full_unstemmed Global solutions with infinite energy for the one-dimensional Zakharov system
title_sort global solutions with infinite energy for the one-dimensional zakharov system
publisher Texas State University
series Electronic Journal of Differential Equations
issn 1072-6691
publishDate 2005-04-01
description 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.
topic Zakharov system
global solutions
Fourier restriction norm method
url http://ejde.math.txstate.edu/Volumes/2005/41/abstr.html
work_keys_str_mv AT hartmutpecher globalsolutionswithinfiniteenergyfortheonedimensionalzakharovsystem
_version_ 1725357719773249536

Similar Items