By Elena Obolashvili
Thus, new forms of equations are tested: elliptic-hyperbolic, elliptic-parabolic, hyperbolic-parabolic and elliptic-hyperbolic-parabolic. those equations are concerning polyharmonic, polywave, polyheat, harmonic-wave, harmonic-heat, wave-heat and harmonic-wave-heat equations for which quite a few boundary and preliminary price difficulties are solved explicitly in quadratures. The options to those new equations within the Clifford environment have a few impressive functions, for instance, to the mechanics of deformable our bodies, electromagnetic fields, and quantum mechanics.
This ebook will entice mathematicians and physicists in PDEs who're attracted to boundary and preliminary price difficulties, and should be used as a supplementary textual content by way of 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