Differential Equations

Download PDF by Elena Obolashvili: Higher Order Partial Differential Equations in Clifford

By Elena Obolashvili

This monograph is dedicated to new kinds of greater order PDEs within the framework of Clifford research. whereas elliptic and hyperbolic equations were studied within the Clifford research environment in e-book and magazine literature, parabolic equations during this framework were principally overlooked and are the first concentration of this work.

Thus, new sorts of equations are tested: elliptic-hyperbolic, elliptic-parabolic, hyperbolic-parabolic and elliptic-hyperbolic-parabolic. those equations are with regards to polyharmonic, polywave, polyheat, harmonic-wave, harmonic-heat, wave-heat and harmonic-wave-heat equations for which quite a few boundary and preliminary worth difficulties are solved explicitly in quadratures. The suggestions to those new equations within the Clifford surroundings have a few extraordinary purposes, for instance, to the mechanics of deformable our bodies, electromagnetic fields, and quantum mechanics.

This booklet will entice mathematicians and physicists in PDEs who're drawn to boundary and preliminary worth difficulties, and should be used as a supplementary textual content through graduate students.

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Higher Order Partial Differential Equations in Clifford Analysis: Effective Solutions to Problems (Progress in Mathematical Physics) by Elena Obolashvili


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