Some Partial Differential Equations in Clifford Analysis

  • E. Obolashvili
Part of the International Society for Analysis, Applications and Computation book series (ISAA, volume 6)


Partial differential equations occuring in mathematical physics can usually be treated with Clifford analytic methods. These methods are not restricted to elliptic equations. Multidimensional analogues of the Beltrami equation in certain Clifford algebras turn out to be elliptic or hyperbolic. A parabolic equation related to the heat equation is investigated in a Clifford algebra.


Harmonic Function Holomorphic Function Heat Equation Dirac Equation Dirac Operator 
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Copyright information

© Kluwer Academic Publishers 1999

Authors and Affiliations

  • E. Obolashvili
    • 1
  1. 1.Georgian Academy of SciencesMathematical InstituteTbilisiGeorgia

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