论文标题
八元随机函数和随机PDES的整合
Octonion random functions and integration of stochastic PDEs
论文作者
论文摘要
在文章中，研究了八元代数和卡利 - 迪克森代数的模块中的随机函数。对于他们的研究过渡措施，使用了八元代数和卡利 - 迪克森代数中的值。研究了这些代数上的随机积分。它们应用于随机PDE的整合。这种方法随后允许分析和整合高于抛物线，椭圆形和双曲线在内的两种类型的PDE的PDE。
In the article random functions in modules over the octonion algebra and Cayley-Dickson algebras are investigated. For their study transition measures with values in the octonion algebra and Cayley-Dickson algebras are used. Stochastic integrals over these algebras are studied. They are applied to integration of stochastic PDEs. This approach permits subsequently to analyze and integrate PDEs of orders higher than two of different types including parabolic, elliptic and hyperbolic.
