| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 1899706 | Physica D: Nonlinear Phenomena | 2011 | 4 Pages |
Abstract
We show that the subcritical dd-dimensional nonlinear Schrödinger equation iψt+Δψ+|ψ|2σψ=0, where 1<σd<21<σd<2, admits smooth solutions that become singular in LpLp for p∗ ► Explicit solutions of the subcritical NLS that become singular in Lp are found. ► The solutions are not in H1. ► The stability of these solutions is still open.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Gadi Fibich,