@inproceedings{dc896d74c1a54ecfbb58edec2f90d8b8,
title = "A family of fundamental solutions for elliptic quaternion coefficient differential operators and application to perturbation results for single layer potentials",
abstract = "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.",
keywords = "elliptic partial differential operators with quaternion constant coefficients, Fundamental solutions, layer potentials, quaternion analysis",
author = "{Dalla Riva}, M. and J. Morais and P. Musolino",
year = "2012",
doi = "10.1063/1.4765500",
language = "English",
isbn = "9780735411050",
volume = "1493",
series = "AIP Conference Proceedings",
publisher = "American Institute of Physics",
pages = "269--273",
editor = "Seenith Sivasundaram",
booktitle = "9th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences, ICNPAA 2012",
address = "United States of America",
note = "9th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences, ICNPAA 2012 ; Conference date: 10-07-2012 Through 14-07-2012",
}