5 citations · 6 across the 4 of their papers we have counts for
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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…
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…
Singularities of solutions to Schrodinger equation on scattering manifold
Kenichi Ito, Shu Nakamura
In this paper we study microlocal singularities of solutions to Schrodinger equations on scattering manifolds, i.e., noncompact Riemannian manifolds with asymptotically conic ends.…
Analytic wave front set for solutions to Schroedinger equation
Andre' Martinez, Shu Nakamura, Vania Sordoni
This paper is a continuation of a previous paper by the same authors, where an analytic smoothing effect was proved for long-range type perturbations of the Laplacian on $\re…