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arXiv · 1902.11143

Magnetic fields and boundary conditions in spectral and asymptotic analysis

Nicolas Popoff
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Abstract

This memoir is devoted to a part of the results from the author about two topics: in the first part, the asymptotics of the low-lying eigenvalues of Schrödinger operators in domains that may have corners, and in the second part, the analysis of the thresholds of a class of fibered operators. The main common object is the magnetic Laplacian, and the two parts are connected through the study of model problems in unbounded domains.

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Nicolas Popoff. 2019-02-28. Magnetic fields and boundary conditions in spectral and asymptotic analysis. https://arxiv.org/abs/1902.11143

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