Gevrey estimates of the resolvent and sub-exponential time-decay of solutions

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Publication date: 14 April 2017

Abstract: In this article, we study a class of non-selfadjoint Schr{"o}dinger operators H which are perturbation of some model operator H 0 satisfying a weighted coercive assumption. For the model operator H 0 , we prove that the derivatives of the resolvent satisfy some Gevrey estimates at threshold zero. As application, we establish large time expansions of semigroups e --tH and e --itH for t > 0 with subexponential time-decay estimates on the remainder, including possible presence of zero eigenvalue and real resonances.

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