|
|||||
|
|
Remark on well-posedness for the fourth order nonlinear Schrödinger type equation |
|
| Authors: | Jun-ichi Segata |
| Institution: | Graduate School of Mathematics, Kyushu University, 10-1, Hakozaki 6-chôme, Higashi-ku, Fukuoka 812-8581, Japan |
| 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. |
| Keywords: | Fourth order nonlinear Schr\"odinger type equation local well-posedness |
| 点击此处可从《Proceedings of the American Mathematical Society》浏览原始摘要信息 | |
| 点击此处可从《Proceedings of the American Mathematical Society》下载免费的PDF全文 | |