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arXiv · 2112.10019

Resolvent estimates for the magnetic Hamiltonian with singular vector potentials and applications

Mengxuan Yang
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Abstract

For the magnetic Hamiltonian with singular vector potentials, we analytically continue the resolvent to a logarithmic neighborhood of the positive real axis and prove resolvent estimates there. As applications, we obtain asymptotic locations of resonances and a local smoothing estimate for solutions of the corresponding Schr\"odinger equation.

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Mengxuan Yang. 2021-12-18. Resolvent estimates for the magnetic Hamiltonian with singular vector potentials and applications. https://doi.org/10.1007/s00220-022-04427-5

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