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arXiv · 1309.0965

Propagation of the Gabor Wave Front Set for Schrödinger Equations with non-smooth potentials

Elena Cordero·Fabio Nicola·Luigi Rodino
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Abstract

We consider Scrödinger equations with real-valued smooth Hamiltonians, and non-smooth bounded pseudo-differential potentials, whose symbols may be not even differentiable. The well-posedness of the Cauchy problem is proved in the frame of the modulation spaces, and results of micro-local propagation of singularities are given in terms of Gabor wave front sets.

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Elena Cordero, Fabio Nicola, Luigi Rodino. 2015-02-18. Propagation of the Gabor Wave Front Set for Schrödinger Equations with non-smooth potentials. https://arxiv.org/abs/1309.0965

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