Semi-classical Schrödinger equations with harmonic potential and nonlinear perturbation (Q1810735)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Semi-classical Schrödinger equations with harmonic potential and nonlinear perturbation |
scientific article; zbMATH DE number 1924842
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Semi-classical Schrödinger equations with harmonic potential and nonlinear perturbation |
scientific article; zbMATH DE number 1924842 |
Statements
Semi-classical Schrödinger equations with harmonic potential and nonlinear perturbation (English)
0 references
9 June 2003
0 references
The author studies the perturbation by a nonlinear term of semi-classical Schrödinger equation with isotropic harmonic potential. The author proves that if the scaling of this perturbation is critical, each focus crossing is described by a nonlinear scattering operator. The proofs of the main results are based on two operators well adapted to Schrödinger equations with harmonic potential and on suitable Strichartz inequalities.
0 references
semi-classical Schrödinger equation
0 references
harmonic potential
0 references
nonlinear perturbation
0 references
Strichartz inequalities
0 references
0 references
0 references
0 references
0 references
