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math.AP2008
Wave front set for solutions to perturbed harmonic oscillators
Shikuan Mao, Shu Nakamura
We consider Schrödinger equations with variable coefficients and the harmonic potential. We suppose the perturbation is short-range type in the sense of [Nakamura 2004]. We charact…
math.AP2008
Analytic Wave Front Set for Solutions to Schrödinger Equations II -- Long Range Perturbations
Andre' Martinez, Shu Nakamura, Vania Sordoni
This paper is a continuation of a paper by the authors: arXiv:0706.0415, where short range perturbations of the flat Euclidian metric where considered. Here, we generalize the resu…