Dirichlet-type problems for n-Poisson equation in Clifford analysis

Abstract

Iterated Dirichlet problem, also called as Riquier or Navier problem, and polyharmonic Dirichlet problem are studied for n-Poisson equation in Clifford analysis using iterated polyharmonic Green function and polyharmonic Green-Almansi type function appropriate for the boundary conditions of the problems.

Keywords:

• Dirichlet problem
• Riquier problem
• polyharmonic
• Clifford analysis

2020 Mathematics Subject Classifications:

• 30G35
• 35C15

Disclosure statement

No potential conflict of interest was reported by the author(s).