We consider the defocusing NLS on R^d with pure power nonlinearity u|u|^\alpha and with initial data in H^1. We prove that the L^r-norms of the solutions decay for large time for any value of \alpha which is H^1-subcritical. The main novelty is that we are able to treat the L^2-subcritical case.
On the decay of solutions to a class of defocusing NLS
VISCIGLIA, NICOLA
2009-01-01
Abstract
We consider the defocusing NLS on R^d with pure power nonlinearity u|u|^\alpha and with initial data in H^1. We prove that the L^r-norms of the solutions decay for large time for any value of \alpha which is H^1-subcritical. The main novelty is that we are able to treat the L^2-subcritical case.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.
