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EnglishIn this note we announce some of the results that will be presented in a forthcoming paper by the authors, and which are concerned about the construction of a family of fundamental solutions for elliptic partial differential operators with quaternion constant coefficients. The elements of such a family are functions which depend jointly real analytically on the coefficients of the operators and on the spatial variable. A detailed description of such fundamental solutions has been deduced in order to study regularity and stability properties in the frame of Schauder spaces for the corresponding layer potentials.
In this note we announce some of the results that will be presented in a forthcoming paper by the authors, and which are concerned about the construction of a family of fundamental solutions for elliptic partial differential operators with quaternion constant coefficients. The elements of such a family are functions which depend jointly real analytically on the coefficients of the operators and on the spatial variable. A detailed description of such fundamental solutions has been deduced in order to study regularity and stability properties in the frame of Schauder spaces for the corresponding layer potentials. © 2012 American Institute of Physics.
| Autori: | |
| Data di pubblicazione: | 2012 |
| Titolo: | A family of fundamental solutions for elliptic quaternion coefficient differential operators and application to perturbation results for single layer potentials |
| Titolo del libro: | 9th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences: ICNPAA 2012 |
| Digital Object Identifier (DOI): | http://dx.doi.org/10.1063/1.4765499 |
| Appare nelle tipologie: | 4.1 Articolo in Atti di convegno |
File in questo prodotto:
| File | Descrizione | Tipologia | Licenza | |
|---|---|---|---|---|
| 20120727_qfs_proceedings.pdf | N/A | Riservato |
http://hdl.handle.net/10278/3723638
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