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arXiv · 2306.05084

Unique Continuation Properties from one time for hyperbolic Schr\"odinger equations

Juan Antonio Barceló·Biagio Cassano·Luca Fanelli
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Abstract

In this paper, we investigate properties of unique continuation for hyperbolic Schr\"odinger equations with time-dependent complex-valued electric fields and time-independent real magnetic fields. We show that positive masses inside of a bounded region at a single time propagate outside the region and prove gaussian lower bounds for the solutions, provided a suitable average in space-time cylinders is taken.

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Juan Antonio Barceló, Biagio Cassano, Luca Fanelli. 2023-06-08. Unique Continuation Properties from one time for hyperbolic Schr\"odinger equations. https://arxiv.org/abs/2306.05084

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