Analytic Wave Front Set for Solutions to Schrödinger Equations
نویسندگان
چکیده
This paper is a continuation of [MNS], where an analytic smoothing effect was proved for long-range type perturbations of the Laplacian H0 on R . In this paper, we consider short-range type perturbations H of the Laplacian on R, and we characterize the analytic wave front set of the solution to the Schrödinger equation: ef , in terms of that of the free solution: e0f , for t < 0 in the forward nontrapping region. The same result holds for t > 0 in the backward nontrapping region. This result is an analytic analogue of results by Hassel and Wunsch [HaWu] and Nakamura [Na3].
منابع مشابه
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