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arXiv · 2011.09433

Pseudomodes for non-self-adjoint Dirac operators

David Krejcirik·Tho Nguyen Duc
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Abstract

Depending on the behaviour of the complex-valued electromagnetic potential in the neighbourhood of infinity, pseudomodes of one-dimensional Dirac operators corresponding to large pseudoeigenvalues are constructed. This is a first systematic non-semi-classical approach, which results in substantial progress in achieving optimal conditions and conclusions as well as in covering a wide class of previously inaccessible potentials, including superexponential ones.

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BibTeXRIS

David Krejcirik, Tho Nguyen Duc. 2020-11-18. Pseudomodes for non-self-adjoint Dirac operators. https://doi.org/10.1016/j.jfa.2022.109440

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