We prove optimal heat kernel estimates for the kernel of the Schrodinger type operator A := (1 + |x|^alphaj)Delta -|x|^beta in R^N, provided that N > 2; alpha> 2 and beta > alpha -2. We also obtain an estimate of the eigenfunctions of A.
Kernel estimates for Schrodinger type operators with unbounded diffusion and potential terms
CANALE, Anna;RHANDI, Abdelaziz
;TACELLI, CRISTIAN
2017-01-01
Abstract
We prove optimal heat kernel estimates for the kernel of the Schrodinger type operator A := (1 + |x|^alphaj)Delta -|x|^beta in R^N, provided that N > 2; alpha> 2 and beta > alpha -2. We also obtain an estimate of the eigenfunctions of A.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.
