Line integration and second order partial differential equations over Cayley-Dickson algebras
Complex Variables
2018-12-18 v1
Abstract
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.
Cite
@article{arxiv.1009.2158,
title = {Line integration and second order partial differential equations over Cayley-Dickson algebras},
author = {S. V Ludkovsky},
journal= {arXiv preprint arXiv:1009.2158},
year = {2018}
}
Comments
80 pages