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arXiv · 1908.08358

Wave front set of solutions to Schr\"odinger 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 Schr\"odinger equations of a harmonic oscillator with sub-quadratic perturbation by using the representation of the Schr\"odinger evolution operator of a harmonic oscillator via the wave packet transform.

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Keiichi Kato, Shingo Ito. 2019-08-22. Wave front set of solutions to Schr\"odinger equations with perturbed harmonic oscillators. https://arxiv.org/abs/1908.08358

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