Pseudomodes for non-self-adjoint Dirac operators

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 approach which goes beyond the standard semi-classical sett...

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Bibliographic Details
Published inJournal of functional analysis Vol. 282; no. 12; p. 109440
Main Authors Krejčiřík, David, Nguyen Duc, Tho
Format Journal Article
LanguageEnglish
Published Elsevier Inc 15.06.2022
Subjects
Dirac operators
Non-self-adjoint electromagnetic potentials
Pseudospectrum
WKB
Pseudospectrum
Non-self-adjoint electromagnetic potentials
Dirac operators
WKB
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Summary: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 approach which goes beyond the standard semi-classical setting. Furthermore, this approach 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.
ISSN:0022-1236
1096-0783
DOI:10.1016/j.jfa.2022.109440