The paper discusses nonlinear singular perturbations of delta type of the fractional Schr\"odinger equation $\imath\partial_t\psi=\flap\psi$, with $s\in(\f{1}{2},1]$, in dimension one. Precisely, we investigate local and global well posedness (in a strong sense), conservations laws and existence of blow-up solutions and standing waves.
Nonlinear singular perturbations of the fractional Schrödinger equation in dimension one
Finco D;
2019-01-01
Abstract
The paper discusses nonlinear singular perturbations of delta type of the fractional Schr\"odinger equation $\imath\partial_t\psi=\flap\psi$, with $s\in(\f{1}{2},1]$, in dimension one. Precisely, we investigate local and global well posedness (in a strong sense), conservations laws and existence of blow-up solutions and standing waves.File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
Nonlinearity frazionario.pdf
non disponibili
Dimensione
1.86 MB
Formato
Adobe PDF
|
1.86 MB | Adobe PDF | Visualizza/Apri Richiedi una copia |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
