Integration of vector Sobolev-type PDE over octonions |
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| Authors: | Sergey V. Ludkovsky |
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| Affiliation: | Department of Applied Mathematics, Moscow State Technical University MIREA, av. Vernadsky 78, Moscow, Russia. |
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| Abstract: | Vector mixed Sobolev-type partial differential equations (PDE) are studied. The technique of their integration over the octonion algebra is developed. Theorems about integration of vector mixed Sobolev-type PDE over octonions are proved. |
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| Keywords: | non-commutative integration octonion algebra partial differential equation |
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