| File | |
| Title |
Solutions to nonlinear Schrodinger equations for special initial data
|
| Creator | |
| Source Title |
Electronic Journal of Differential Equations
|
| Volume | 2015 |
| Issue | 279 |
| Start Page | 1 |
| End Page | 6 |
| Journal Identifire |
ISSN 10726691
|
| Descriptions |
Other
This article concerns the solvability of the nonlinear Schrodinger equation with gauge invariant power nonlinear term in one space dimension. The well-posedness of this equation is known only for H^s with s >__- 0. Under some assumptions on the nonlinearity, this paper shows that this equation is uniquely solvable for special but typical initial data, namely the linear combinations of 14;(x) and p. v.(1/x), which belong to H^<-1/2-0>. The proof in this article allows L^2-perturbations on the initial data.
|
| Subjects |
Nonlinear Schrodinger Equations
Solvability
Rough Initial Data
|
| Language |
eng
|
| Resource Type | journal article |
| Publisher |
Texas State University, Department of Mathematics
|
| Date of Issued | 2015 |
| Rights |
Texas State University, Department of Mathematics
|
| Publish Type | Version of Record |
| Access Rights | open access |
| Relation |
[URI]
http://ejde.math.txstate.edu
|
