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作者 Obolashvili, Elena
書名 Higher Order Partial Differential Equations in Clifford Analysis [electronic resource] : Effective Solutions to Problems / by Elena Obolashvili
出版項 Boston, MA : Birkhäuser Boston : Imprint : Birkhäuser, 2003
國際標準書號 9781461200154 (electronic bk.)
1461200156 (electronic bk.)
book jacket
說明 1 online resource (VIII, 178 pages)
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
系列 Progress in Mathematical Physics ; 28
Progress in mathematical physics ; 28
附註 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
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
主題 Mathematics
Differential equations, Partial
Global differential geometry
Differential equations, Partial. fast (OCoLC)fst00893484
Global differential geometry. fast (OCoLC)fst00943477
Mathematics. fast (OCoLC)fst01012163
Electronic books
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