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arXiv · 1704.04436

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

Xue Ping Wang
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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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Xue Ping Wang. 2017-04-14. Gevrey estimates of the resolvent and sub-exponential time-decay of solutions. https://arxiv.org/abs/1704.04436

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