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Unique Continuation Properties from One Time for Hyperbolic Schrödinger Equations

Juan A. Barceló, Biagio Cassano, Luca Fanelli

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Source: Crossref

Published: Nov 12, 2024

DOI: 10.1137/23m1578218

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Source abstract

Abstract. In this paper, we investigate properties of unique continuation for hyperbolic Schrödinger 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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