Nonlinear singular perturbations of the fractional Schrödinger equation in dimension one
Abstract
The paper discusses nonlinear singular delta-type perturbations of the fractional Schrödinger equation [ image ], with [ image ], in dimension one. In particular, we investigate local and global well-posedness (in a strong sense), conservation laws and the existence of blow-up solutions and standing waves.
- Publication:
-
Nonlinearity
- Pub Date:
- August 2019
- DOI:
- 10.1088/1361-6544/ab1273
- Bibcode:
- 2019Nonli..32.3112C
- Keywords:
-
- fractional Laplacian;
- point interactions;
- blow up solutions