A family of fundamental solutions for elliptic quaternion coefficient differential operators and application to perturbation results for single layer potentials

M. Dalla Riva, J. Morais, P. Musolino

Research output: Chapter in Book/Report/Conference proceedingConference Proceeding (Non-Journal item)

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.

Original languageEnglish
Title of host publication9th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences, ICNPAA 2012
EditorsSeenith Sivasundaram
PublisherAmerican Institute of Physics
Pages269-273
Number of pages5
Volume1493
ISBN (Print)9780735411050, 0735411050
DOIs
Publication statusPublished - 2012
Event9th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences, ICNPAA 2012 - Vienna, Austria
Duration: 10 Jul 201214 Jul 2012

Publication series

NameAIP Conference Proceedings

Conference

Conference9th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences, ICNPAA 2012
Country/TerritoryAustria
CityVienna
Period10 Jul 201214 Jul 2012

Keywords

  • elliptic partial differential operators with quaternion constant coefficients
  • Fundamental solutions
  • layer potentials
  • quaternion analysis

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