Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5773965 | Journal of Differential Equations | 2017 | 65 Pages |
Abstract
We establish the global well-posedness of the derivative nonlinear Schrödinger equation with periodic boundary condition in the Sobolev space H12, provided that the mass of initial data is less than 4Ï. This result matches the one by Miao, Wu, and Xu and its recent mass threshold improvement by Guo and Wu in the non-periodic setting. Below H12, we show that the uniform continuity of the solution map on bounded subsets of Hs does not hold, for any gauge equivalent equation.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Razvan Mosincat,