Elena Obolashvili

Higher Order Partial Differential Equations in Clifford Analysis (eBook, PDF)

Effective Solutions to Problems

• Format: PDF

Produktbeschreibung

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.

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Produktdetails

• Verlag: Birkhäuser Boston
• Seitenzahl: 178
• Erscheinungstermin: 6. Dezember 2012
• Englisch
• ISBN-13: 9781461200154
• Artikelnr.: 44194553

Inhaltsangabe

I Boundary Value Problems for Regular, Generalized Regular and Pluriregular Elliptic Equations.- I Two-Dimensional Cases.- II Multidimensional Cases.- II Initial Value Problems for Regular and Pluriregular, Hyperbolic and Parabolic Equations.- III Hyperbolic and Plurihyperbolic Equations in Clifford Analysis.- IV Parabolic and Pluriparabolic Equations in Clifford Analysis.- Epilogue.- References.