## Relatório de pesquisa 03/08

Symmetry Coefficients of Semilinear Partial Differential Equations, Igor Leite Freire and Antonio Carlos Gilli Martins, submitted March 2008.

Abstract

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

Mathematics Subject Classifications
(2000): 35H10, 58J70

Keywords: Lie point symmetry

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March 04, 2008

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