Solutions of nonlinear Sobolev-Burgers PDEs

Abstract

Nonlinear Sobolev-Burgers PDEs are considered. Their solutions are investigated. A technique of noncommutative line integration is utilized for their description. A new method of PDEs solution with the help of Cayley-Dickson algebras is developed in the article. Moreover, random operator valued measures are studied and applied to solutions of PDEs.

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