Abstract
We consider the initial value problem for the fourth order nonlinear Schrödinger type equation (4NLS) related to the theory of vortex filament. In this paper we prove the time local well-posedness for (4NLS) in the Sobolev space, which is an improvement of our previous paper.
Original language | English |
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Pages (from-to) | 3559-3568 |
Number of pages | 10 |
Journal | Proceedings of the American Mathematical Society |
Volume | 132 |
Issue number | 12 |
DOIs | |
Publication status | Published - 2004 Dec |
Keywords
- Fourth order nonlinear Schrödinger type equation
- Local well-posedness
ASJC Scopus subject areas
- Mathematics(all)
- Applied Mathematics