An Lp-theory for almost sure local well-posedness of the nonlinear Schrodinger equations

作者：Pocovnicu Oana^*; Wang Yuzhao

来源：Comptes Rendus Mathematique, 2018, 356(6): 637-643.

DOI：10.1016/j.crma.2018.04.009

We consider the nonlinear Schrodinger equations (NLS) on R-d with random and rough initial data. By working in the framework of L-p (R-d) spaces, p > 2, we prove almost sure local well-posedness for rougher initial data than those considered in the existing literature. The main ingredient of the proof is the dispersive estimate.

• 出版日期2018-6