| 10 | Wellposedness of some quasi-linear Schrdinger equations显示文摘This article is devoted to the study of a quasilinear Schrdinger equation coupled with an elliptic equation on the metric g. We first prove that, in this context, the propagation of regularity holds which ensures local wellposedness for initial data small enough in˙H1/2 and belonging to the Besov space˙B3/22,1. In a second step, we establish Strichartz estimates for time dependent rough metrics to obtain a lower bound of the time existence which only involves the˙B1+ε2,∞norm on the initial data. | CHEMIN Jean-Yves SALORT Delphine | 2015 | Science China Mathematics2015，58，5： | 0 |
您所在的机构暂未开通此部分的功能，请联系管理员