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arXiv · 2009.03867

Resolvent estimates and resonance free domains for Schrödinger operators with matrix-valued potentials

Marouane Assal
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Abstract

We establish semiclassical resolvent estimates for Schrödinger operators with long-range matrix-valued potentials. As an application we prove resonance free domains both in trapping and non-trapping situations. Our results generalize the well-known results of \cite{Burq1, Martinez1} in the case of scalar Schrödinger operators.

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Marouane Assal. 2020-09-08. Resolvent estimates and resonance free domains for Schrödinger operators with matrix-valued potentials. https://arxiv.org/abs/2009.03867

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