Titel
Scattering properties and dispersion estimates for a one‐dimensional discrete Dirac equation
Autor*in
Abstract
We derive dispersion estimates for solutions of a one-dimensional discrete Dirac equations with a potential. In particular, we improve our previous result, weakening the conditions on the potential. To this end we also provide new results concerning scattering for the corresponding perturbed Dirac operators which are of independent interest. Most notably, we show that the reflection and transmission coefficients belong to the Wiener algebra.
Stichwort
discrete Dirac equationdispersive decayGelfand–Levitan–Marchenko equationsJost solutionsscattering matrixWiener algebra
Objekt-Typ
Sprache
Englisch [eng]
Persistent identifier
Erschienen in
Titel
Mathematische Nachrichten
Band
295
Ausgabe
4
ISSN
0025-584X
Erscheinungsdatum
2022
Seitenanfang
762
Seitenende
784
Publication
Wiley
Projekt
Kod / Identifikator
P 34177
Fördergeber
Erscheinungsdatum
2022
Zugänglichkeit
Rechteangabe
© 2022 The Authors
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