Higher Order Partial Differential Equations in Clifford Analysis

Beschreibung

This monograph is devoted to new types of higher order PDEs in the framework of Clifford analysis. While elliptic and hyperbolic equations have been studied in the Clifford analysis setting in book and journal literature, parabolic equations have been ignored and are the primary focus of this work. These new equations have remarkable applications to mathematical physics---mechanics of deformable bodies, electromagnetic fields, quantum mechanics. Book will appeal to mathematicians and physicists in PDEs, and it may also be used as a supplementary text by graduate students.
New types of parabolic equations of high order considered in the Clifford analysis framework Pluri-Beltrami and plurigeneralized Beltrami equations for ellpitic and hyperbolic cases Boundary and initial value problems solved in quadratures

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Elena Obolashvili

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