Symmetry Coefficients of Semilinear Partial Differential Equations

Details Symmetry Coefficients of Semilinear Partial Differential Equations Symmetry Coefficients of Semilinear Partial Differential Equations

2008-03-06

arxiv.org/abs/0803.0865v2

Mathematics

Analysis of PDEs

15 pages, submitted

Scientific paper

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.

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