O princípio do máximo aplicado à equação de laplace.

Abstract

Partial differential equations constitute a major area in mathematics not only because its applications in various branches of science and engineering but also for their theoretical richness in which several of the most important mathematical ideas are used. The main objective of our work is the study of the maximum principle for the Laplace equation with respect to the existence and uniqueness of a solution and its continuous dependence in relation to the initial data and initial boundary values.