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The Cauchy problem for the fourth-order nonlinear Schrödinger equation related to the vortex filament |
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| Authors: | Zhaohui Huo Yueling Jia |
| Institution: | a School of Sciences, Beijing University of Aeronautics and Astronautics, No. 37, Xueyuan Road, Beijing 100083, PR China b Institute of Applied Physics and Computational Mathematics, P.O. Box 8009, Beijing 100088, PR China |
| Abstract: | The Cauchy problem of one-dimensional fourth-order nonlinear Schrödinger equation related to the vortex filament is studied. Local well-posedness for initial data in  is obtained by the Fourier restriction norm method under certain coefficient condition. |
| Keywords: | 35B35 35Q55 35R25 76D17 |
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