arXiv 1009.21582010-09-11math.CV

Line integration and second order partial differential equations over Cayley-Dickson algebras

S. V Ludkovsky

备注：: 80 pages
发表信息：: 2012, Computational Methods and Function Theory, V. 12: 1

英文摘要：

Line integration of generalized functions is studied. Second order partial differential equations with piecewise continuous and generalized variable coefficients over Cayley-Dickson algebras are investigated. Formulas for integrations of such equations are deduced. For this purpose a non-commutative line integration is used. Examples of solutions of partial differential equations are given.

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