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ArticleOriginal scientific text

Title

Some partial differential equations in Clifford analysis

Authors 1

Affiliations

  1. Institute of Mathematics, Georgian Academy of Sciences, Tbilisi, Georgia

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.

Bibliography

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Banach Center Publications
1996/37/1
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Pages:
173-179
Main language of publication
English
Published
1996
Exact and natural sciences