期刊
NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS
卷 24, 期 3, 页码 -出版社
SPRINGER INT PUBL AG
DOI: 10.1007/s00030-017-0451-0
关键词
Nonlinear Schrodinger equation; Orbital stability; Standing wave; delta-interaction; Self-adjoint extension; Deficiency indices; Semi-bounded operator
资金
- CNPq/Brazil
- Fapesp [2012/50503-6, 2016/02060-9]
We study analytically the orbital stability of the standing waves with a peak-Gausson profile for a nonlinear logarithmic Schrodinger equation with delta-interaction (attractive and repulsive). A major difficulty is to compute the number of negative eigenvalues of the linearized operator around the standing wave. This is overcome by the perturbation method, the continuation arguments, and the theory of extensions of symmetric operators.
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