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.
|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|
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