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RT Book, Whole SR Electronic DC OPAC T1 Higher Order Partial Differential Equations in Clifford Analysis : Effective Solutions to Problems A1 Obolashvili, Elena A1 SpringerLink (Online service) YR 2003 FD 2003 VO print K1 Differential equations K1 Mathematics K1 Geometry, Differential K1 Mathematical physics K1 Differential Equations K1 Applications of Mathematics K1 Differential Geometry K1 Theoretical, Mathematical and Computational Physics ED 1st ed. 2003. PB Birkhäuser Boston : Imprint: Birkhäuser PP Boston, MA SN 9781461265733 LA English (英語) CL LCC:QA370-380 CL DC23:515.35 NO 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. NO License restrictions may limit access NO Summary: The most important thing is to write equations in a beautiful form and their success in applications is ensured. Paul Dirac The uniqueness and existence theorems for the solutions of boundary and initial value problems for systems of high-order partial differential equations (PDE) are sufficiently well known. In this book, the problems considered are those whose solutions can be represented in quadratures, i.e., in an effective form. Such problems have remarkable applications in mathematical physics, the mechanics of deformable bodies, electro magnetism, relativistic quantum mechanics, and some of their natural generalizations. Almost all such problems can be set in the context of Clifford analysis. Moreover, they can be obtained without applying any physical laws, a circumstance that gives rise to the idea that Clifford analysis itself can suggest generalizations of classical equations or new equations altogether that may have some physical content. For that reason, Clifford analysis represents one of the most remarkable fields in modem mathematics as well as in modem physics NO 書誌ID=OB01025274; LK https://link.springer.com/openurl?genre=book&isbn=978-1-4612-0015-4 DS 同志社大学OPAC OL 30