Some partial differential equations in Clifford analysis
Volume 37 / 1996
Banach Center Publications 37 (1996), 173-179
DOI: 10.4064/-37-1-173-179
Abstract
Using Clifford analysis in a multidimensional space some elliptic, hyperbolic and parabolic systems of partial differential equations are constructed, which are related to the well-known classical equations. To obtain parabolic systems Clifford algebra is modified and some corresponding differential operator is constructed. For systems obtained the boundary and initial value problems are solved.