The asymptotic behavior of solutions to Schr¨odinger equations with singular homogeneous potentials is investigated. Through an Almgren type monotonicity formula and separation of variables, we describe the exact asymptotics near the singularity of solutions to at most critical semilinear elliptic equations with cylindrical and quantum multi-body singular potentials. Furthermore, by an iterative Brezis-Kato procedure, pointwise upper estimate are derived.
On the behavior at collisions of solutions to Schrodinger equations with many-particle and cylindrical potentials
FERRERO, ALBERTO;
2012-01-01
Abstract
The asymptotic behavior of solutions to Schr¨odinger equations with singular homogeneous potentials is investigated. Through an Almgren type monotonicity formula and separation of variables, we describe the exact asymptotics near the singularity of solutions to at most critical semilinear elliptic equations with cylindrical and quantum multi-body singular potentials. Furthermore, by an iterative Brezis-Kato procedure, pointwise upper estimate are derived.File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
Felli-Ferrero-Terracini-Nbody.pdf
file disponibile solo agli amministratori
Descrizione: Articolo principale
Tipologia:
Documento in Pre-print
Licenza:
DRM non definito
Dimensione
465.02 kB
Formato
Adobe PDF
|
465.02 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
