We shall study the Schroedinger equation pertrubed by a potential V (x) which is real and short–range, whose radial derivative satisfies some supplementary assumptions. More precisely we shall present a family of identities satisfied by solutions. As a by–product of these identities we deduce some uniqueness results for and a lower bound for the so called local smoothing which becomes an identity in a precise asymptotic sense.
Asymptotic Lower Bounds for a Class of Schroedinger Equations
VISCIGLIA, NICOLA
2008-01-01
Abstract
We shall study the Schroedinger equation pertrubed by a potential V (x) which is real and short–range, whose radial derivative satisfies some supplementary assumptions. More precisely we shall present a family of identities satisfied by solutions. As a by–product of these identities we deduce some uniqueness results for and a lower bound for the so called local smoothing which becomes an identity in a precise asymptotic sense.File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
