Bulletin of Computational Applied Mathematics (Bull CompAMa)
Anisotropic Newton's kernel in the plane
Carmen Judith Vanegas, Franklin Vargas Jiménez
The goal of this paper is to construct a fundamental solution of the operator $div(B\nabla)$ in the plane, where B is a real symmetric and definite positive matrix, and to find integral representations to the solutions of the stationary inhomogeneous anisotropic equation.
Keywords: Anisotropic Helmholtz operators; fundamental solution; complex quaternions.