Higher Order Partial Differential Equations in Clifford Analysis: Effective Solutions to Problems: v.28 - Rilegato

Obolashvili, Elena I.

 
9780817642860: Higher Order Partial Differential Equations in Clifford Analysis: Effective Solutions to Problems: v.28
Rilegato
ISBN 10: 0817642862 ISBN 13: 9780817642860
Casa editrice: Birkhauser, 2002

Sinossi

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.

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

Contenuti

Introduction * Part I: Boundary Value Problems for Regular, Generalized, Regular and Pluriregular Elliptic Equations * Two Dimensional Cases * Multi-Dimensional Cases * Part II: Initial Value Problems for Regular, Pluriregular Hyperbolic and Parabolic Equations * Hyperbolic and Plurihyperbolic Equations in Clifford Analysis * Parabolic and Pluriparabolic Equations in Clifford Analysis * Epilogue * References * Index

Product Description

Higher Order Partial Differential Equations In Clifford Analysis: Effective Solutions To Problems by Elena I. Obolashvili, 9780817642860, Springer/Birkhauser, 2002, Hardcover

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

Editore
Birkhauser
Data di pubblicazione
2002
Lingua
Inglese
ISBN 10 
0817642862
ISBN 13 
9780817642860
Rilegatura
Copertina rigida
Numero di pagine
184
Contatto del produttore
non disponibile
Persona responsabile
non disponibile

Altre edizioni note dello stesso titolo

9781461265733: Higher Order Partial Differential Equations in Clifford Analysis: Effective Solutions to Problems: 28

Edizione in evidenza

ISBN 10:  1461265738 ISBN 13:  9781461265733
Casa editrice: Birkhäuser, 2012
Brossura