Wave front set of solutions to Schrödinger equations with perturbed harmonic oscillators

Keiichi Kato; Shingo Ito

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arXiv · 1908.08358

Wave front set of solutions to Schrödinger equations with perturbed harmonic oscillators

Keiichi Kato·Shingo Ito

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Abstract

In this paper, we determine the wave front sets of solutions to Schrödinger equations of a harmonic oscillator with sub-quadratic perturbation by using the representation of the Schrödinger evolution operator of a harmonic oscillator via the wave packet transform.

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Keiichi Kato, Shingo Ito. 2019-10-16. Wave front set of solutions to Schrödinger equations with perturbed harmonic oscillators. https://arxiv.org/abs/1908.08358

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