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.
@article{bwmeta1.element.bwnjournal-article-bcpv37i1p173bwm,
author = {Obolashvili, Elena},
title = {Some partial differential equations in Clifford analysis},
journal = {Banach Center Publications},
volume = {37},
year = {1996},
pages = {173-179},
zbl = {0870.35021},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-bcpv37i1p173bwm}
}
Obolashvili, Elena. Some partial differential equations in Clifford analysis. Banach Center Publications, Tome 37 (1996) pp. 173-179. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-bcpv37i1p173bwm/
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