The paper studies existence of solutions for the nonlinear Schrödinger equation −(∇+iA(x))2u+V(x)u=f(|u|)u with a general bounded external magnetic field. In particular, no lattice periodicity of the magnetic field or presence of external electric field is required. Solutions are obtained by means of a general structural statement about bounded sequences in the magnetic Sobolev space.
Nonlinear Schrödinger equation with bounded magnetic field / Devillanova, Giuseppe; Tintarev, Cyril. - In: JOURNAL OF DIFFERENTIAL EQUATIONS. - ISSN 0022-0396. - STAMPA. - 269:10(2020), pp. 8998-9025. [10.1016/j.jde.2020.06.010]
Nonlinear Schrödinger equation with bounded magnetic field
Giuseppe Devillanova;
2020-01-01
Abstract
The paper studies existence of solutions for the nonlinear Schrödinger equation −(∇+iA(x))2u+V(x)u=f(|u|)u with a general bounded external magnetic field. In particular, no lattice periodicity of the magnetic field or presence of external electric field is required. Solutions are obtained by means of a general structural statement about bounded sequences in the magnetic Sobolev space.| File | Dimensione | Formato | |
|---|---|---|---|
|
2020_Nonlinear_Schrödinger_equation_with_bounded_magnetic_field_postprint.pdf
accesso aperto
Tipologia:
Documento in Post-print
Licenza:
Creative commons
Dimensione
462.55 kB
Formato
Adobe PDF
|
462.55 kB | Adobe PDF | Visualizza/Apri |
|
2020_Nonlinear_Schrödinger_equation_with_bounded_magnetic_field_pdfeditoriale.pdf
solo gestori catalogo
Tipologia:
Versione editoriale
Licenza:
Tutti i diritti riservati
Dimensione
403.03 kB
Formato
Adobe PDF
|
403.03 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
