Some Partial Differential Equations in Clifford Analysis
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.
KeywordsHarmonic Function Holomorphic Function Heat Equation Dirac Equation Dirac Operator
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