On time dependent Schr{ö}dinger equations: global well-posedness and growth of Sobolev norms

Alberto Maspero, Didier Robert

In this paper we consider time dependent Schr{ö}dinger linear PDEs of the form i$\partial$t$\psi$ = L(t)$\psi$, where L(t) is a continuous family of self-adjoint operators. We give condi…