Fundamental Solutions for Second Order Elliptic Operators in Clifford-Type Algebras

Abstract:

We show fundamental solutions for some second order elliptic operators in the framework of parameter-depending Clifford-type algebras. Then we show integral representation formulae for sufficiently smooth functions defined in a domain of Rⁿ⁺¹. This leads to integral formulae for solutions of certain partial differential equations of higher order.

Año de publicación:

2015

Keywords:

• Fundamental solutions
• Clifford-type algebras
• integral representations formulae
• elliptic operators

Fuente:

scopus