Symmetry Coefficients of Semilinear Partial Differential Equations
Analysis of PDEs
2008-04-21 v2
Abstract
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.
Cite
@article{arxiv.0803.0865,
title = {Symmetry Coefficients of Semilinear Partial Differential Equations},
author = {Igor Leite Freire and Antonio Carlos Gilli Martins},
journal= {arXiv preprint arXiv:0803.0865},
year = {2008}
}
Comments
15 pages, submitted