Unique local existence of solution in low regularity space of the Cauchy problem for the mKdV equation with periodic boundary condition Kenji Nakanishi; Hideo Takaoka; Yoshio Tsutsumi Séminaire Équations aux dérivées partielles
Global well-posedness for Schrödinger equations with derivative in a nonlinear term and data in low-order Sobolev spaces. Takaoka, Hideo — 2001 Electronic Journal of Differential Equations (EJDE) [electronic only]
Global well-posedness for KdV in Sobolev spaces of negative index. Colliander, James E.; Keel, Markus; Staffilani, Gigliola; Takaoka, Hideo; Tao, Terence C. — 2001 Electronic Journal of Differential Equations (EJDE) [electronic only]