Higher Order Partial Differential Equations in Clifford Analysis: Effective Solutions to Problems (Progress in Mathematical Physics, Band 28) - Softcover

Obolashvili, Elena

Softcover

ISBN 10: 1461265738 ISBN 13: 9781461265733

Verlag: Birkhäuser, 2012

Inhaltsangabe

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.

Details zur Ausgabe

• Verlag: Birkhäuser
• Erscheinungsdatum: 2012
• Sprache: Englisch
• ISBN 10: 1461265738
• ISBN 13: 9781461265733
• Einband: Taschenbuch
• Anzahl der Seiten: 187
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