Growth of Sobolev norms for abstract linear Schrödinger Equations

Dario Bambusi, Benoit Grébert, Alberto Maspero +1

We prove an abstract theorem giving a $⟨t{⟩}^{\epsilon }$ bound ($\forall \epsilon >0$) on the growth of the Sobolev norms in linear Schrödinger equations of the form $i \dot ψ= H_0 ψ+ V(…