In this paper we study spectral properties associated to Schr\"odinger operator $-\Delta-W,$ with potential $W$ that is an exponentially decaying $C^1$ function. As applications we prove local energy decay for solutions to the perturbed wave equation and lack of resonances for the NLS.
Dispersive Properties of Schro"dinger Operators in the Absence of a Resonance at Zero Energy in 3D
GUEORGUIEV, VLADIMIR SIMEONOV;
2012-01-01
Abstract
In this paper we study spectral properties associated to Schr\"odinger operator $-\Delta-W,$ with potential $W$ that is an exponentially decaying $C^1$ function. As applications we prove local energy decay for solutions to the perturbed wave equation and lack of resonances for the NLS.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.
