Seminari del Dipartimento di Matematica

Seminario del 2014

Gevrey estimates for resolvent of a class of non-selfadjoint Schrödinger operators

nell'ambito della serie: SEMINARI DI ANALISI MATEMATICA BRUNO PINI

analisi matematica

It is known that the boundary values of the resolvent of selfadjoint Schrödinger operator with a slowly decreasing potential is smooth at the threshold zero. In this talk, I shall show that in a more general setting, one has in fact some Gevrey estimates for the resolvent. As applications, we show that local energies of solutions to the associated heat equation and the Schrödinger equation decay subexponentially.