Resolvent estimates uniform in the spectral parameter and derivative order are proved for Schrödinger operators with L^∞ potentials decaying super-polynomially, yielding local energy decay at rate e^{-c_0 t^s} for sub-exponentially decaying potentials.
Vainberg , On the short wave asymptotic behaviour of solutions of stationary problems and the asymptotic behaviour as t of solutions of nonstationary problems , Russian Math
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Resolvent estimates for the Schr\"odinger operator with $L^\infty$ electric and magnetic potentials and applications to the local energy decay
Resolvent estimates uniform in the spectral parameter and derivative order are proved for Schrödinger operators with L^∞ potentials decaying super-polynomially, yielding local energy decay at rate e^{-c_0 t^s} for sub-exponentially decaying potentials.