Symmetry Coefficients of Semilinear Partial Differential Equations

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We show that for any semilinear partial differential equation of order m, the infinitesimals of the independent variables depend only on the independent variables and, if m>1 and the equation is also linear in its derivatives of order m-1 of the dependent variable, then the infinitesimal of the dependent variable is at most linear on the dependent variable. Many examples of important partial differential equations in Analysis, Geometry and Mathematical - Physics are given in order to enlighten the main result.
15 pages, submitted

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Analysis of PDEs, 35H10, 58J70

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http://salesiana.dossiersoluciones.com/handle/123456789/159115

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0803.0865
 http://arxiv.org/abs/0803.0865

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arXiv