Pseudomodes for non-self-adjoint Dirac operators
arXiv:2011.09433 · doi:10.1016/j.jfa.2022.109440
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.
arXiv comment39 pages, the paper has been revised
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