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arXiv · 2110.06370

Existence of resonances for Schrodinger operators on hyperbolic space

David Borthwick·Yiran Wang
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Abstract

We prove existence results and lower bounds for the resonances of Schrödinger operators associated to smooth, compactly support potentials on hyperbolic space. The results are derived from a combination of heat and wave trace expansions and asymptotics of the scattering phase.

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David Borthwick, Yiran Wang. 2022-08-15. Existence of resonances for Schrodinger operators on hyperbolic space. https://doi.org/10.2140/apde.2024.17.2077

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