By Elena Obolashvili
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