Higher Order Partial Differential Equations in Clifford - download pdf or read online

By Elena Obolashvili

ISBN-10: 0817642862

ISBN-13: 9780817642860

ISBN-10: 1461265738

ISBN-13: 9781461265733

This monograph is dedicated to new varieties of better order PDEs within the framework of Clifford research. whereas elliptic and hyperbolic equations were studied within the Clifford research environment in booklet and magazine literature, parabolic equations during this framework were mostly neglected and are the first concentration of this work.

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

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