Higher Order Partial Differential Equations in Clifford Analysis: Effective Solutions to Problems: v.28 (Progress in Mathematical Physics) - Tapa dura

Libro 5 de 37: Progress in Mathematical Physics

Obolashvili, Elena

 
9780817642860: Higher Order Partial Differential Equations in Clifford Analysis: Effective Solutions to Problems: v.28 (Progress in Mathematical Physics)
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ISBN 10: 0817642862 ISBN 13: 9780817642860
Editorial: Birkhauser Boston, 2002

Sinopsis

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 in this framework have been largely ignored and are the primary focus of this work. Thus, new types of equations are examined: elliptic-hyperbolic, elliptic-parabolic, hyperbolic-parabolic and elliptic-hyperbolic-parabolic. These equations are related to polyharmonic, polywave, polyheat, harmonic-wave, harmonic-heat, wave-heat and harmonic-wave-heat equations for which various boundary and initial value problems are solved explicitly in quadratures. The solutions to these new equations in the Clifford setting have some remarkable applications, for example, to the mechanics of deformable bodies, electromagnetic fields, and quantum mechanics.

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Reseña del editor

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 in this framework have been largely ignored and are the primary focus of this work. Thus, new types of equations are examined: elliptic-hyperbolic, elliptic-parabolic, hyperbolic-parabolic and elliptic-hyperbolic-parabolic. These equations are related to polyharmonic, polywave, polyheat, harmonic-wave, harmonic-heat, wave-heat and harmonic-wave-heat equations for which various boundary and initial value problems are solved explicitly in quadratures. The solutions to these new equations in the Clifford setting have some remarkable applications, for example, to the mechanics of deformable bodies, electromagnetic fields, and quantum mechanics. This book will appeal to mathematicians and physicists in PDEs who are interested in boundary and initial value problems, and may be used as a supplementary text by graduate students.

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Editorial
Birkhauser Boston
Año de publicación
2002
Idioma
Inglés
ISBN 10 
0817642862
ISBN 13 
9780817642860
Encuadernación
Tapa dura
Número de páginas
186
Contacto del fabricante
no disponible
Persona responsable
no disponible

Otras ediciones populares con el mismo título

9781461265733: Higher Order Partial Differential Equations in Clifford Analysis: Effective Solutions to Problems: 28 (Progress in Mathematical Physics)

Edición Destacada

ISBN 10:  1461265738 ISBN 13:  9781461265733
Editorial: Birkhäuser, 2012
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