Perturbations of the Spence-Abel equation and deformations of the dilogarithm function
We analyze existence, uniqueness and regularity of solutions for perturbations of the Spence-Abel equation for the Rogers’ dilogarithm. As an application we deduce a version of Hyers-Ulam stability for the Spence-Abel equation.
Gespeichert in:
| Hauptverfasser: | , |
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| Dokumenttyp: | Article (Journal) |
| Sprache: | Englisch |
| Veröffentlicht: |
31 January 2017
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| In: |
Mathematische Annalen
Year: 2017, Jahrgang: 368, Heft: 3-4, Pages: 1399-1428 |
| ISSN: | 1432-1807 |
| DOI: | 10.1007/s00208-016-1514-y |
| Online-Zugang: | Verlag, Volltext: http://dx.doi.org/10.1007/s00208-016-1514-y Verlag, Volltext: https://link.springer.com/article/10.1007/s00208-016-1514-y 
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| Verfasserangaben: | Tobias Hartnick, Andreas Ott |
| Zusammenfassung: | We analyze existence, uniqueness and regularity of solutions for perturbations of the Spence-Abel equation for the Rogers’ dilogarithm. As an application we deduce a version of Hyers-Ulam stability for the Spence-Abel equation. |
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| Beschreibung: | Gesehen am 20.03.2018 |
| Beschreibung: | Online Resource |
| ISSN: | 1432-1807 |
| DOI: | 10.1007/s00208-016-1514-y |