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.
2008
Vega, L; Visciglia, Nicola
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11568/124437
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