Local well-posedness for a higher order nonlinear Schrodinger equation in Sobolev spaces of negative indices
We prove that the initial value problem associated with $$ partial_tu+ialpha partial^2_x u+Beta partial^3_x u +igamma|u|^2u = 0, quad x,t in mathbb{R}, $$ is locally well-posed in $H^s$ for $s>-1/4$.
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2004-01-01
|
| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2004/13/abstr.html |