Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
839241 | Nonlinear Analysis: Theory, Methods & Applications | 2016 | 19 Pages |
Abstract
The Cauchy problem for the critical nonlinear Schrödinger equation is considered in the Sobolev space of fractional order. Some modified Strichartz estimates are constructed and applied to the problem to obtain small global solutions with less regularity assumption for the nonlinear term.
Related Topics
Physical Sciences and Engineering
Engineering
Engineering (General)
Authors
Makoto Nakamura, Takeshi Wada,