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.
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| Main Authors: | , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
31 January 2017
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| In: |
Mathematische Annalen
Year: 2017, Volume: 368, Issue: 3-4, Pages: 1399-1428 |
| ISSN: | 1432-1807 |
| DOI: | 10.1007/s00208-016-1514-y |
| Online Access: | 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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| Author Notes: | Tobias Hartnick, Andreas Ott |
| Summary: | 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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| Item Description: | Gesehen am 20.03.2018 |
| Physical Description: | Online Resource |
| ISSN: | 1432-1807 |
| DOI: | 10.1007/s00208-016-1514-y |