A family of fundamental solutions of elliptic partial differential operators with quaternion constant coefficients

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

*Awdur cyfatebol y gwaith hwn

Allbwn ymchwil: Cyfraniad at gyfnodolynErthygladolygiad gan gymheiriaid

11 Dyfyniadau(SciVal)

Crynodeb

The purpose of this paper is to construct a family of fundamental solutions for elliptic partial differential operators with quaternion constant coefficients. The elements of such family are expressed by means of functions, which depend jointly real analytically on the coefficients of the operators and on the spatial variable. We show some regularity properties in the frame of Schauder spaces for the corresponding single layer potentials. Ultimately, we exploit our construction by showing a real analyticity result for perturbations of the layer potentials corresponding to complex elliptic partial differential operators of order two.

Iaith wreiddiolSaesneg
Tudalennau (o-i)1569-1582
Nifer y tudalennau14
CyfnodolynMathematical Methods in the Applied Sciences
Cyfrol36
Rhif cyhoeddi12
Dyddiad ar-lein cynnar06 Rhag 2012
Dynodwyr Gwrthrych Digidol (DOIs)
StatwsCyhoeddwyd - 01 Awst 2013

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