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Solutions of nonlinear Sobolev-Burgers PDEs

Analysis of PDEs 2018-12-16 v1

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.

Keywords

Cite

@article{arxiv.1811.02698,
  title  = {Solutions of nonlinear Sobolev-Burgers PDEs},
  author = {S. V. Ludkowski},
  journal= {arXiv preprint arXiv:1811.02698},
  year   = {2018}
}

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30 pages