LOCAL AND GLOBAL SOLUTIONS IN A SEMILINEAR PARABOLIC EQUATION
DOI:
https://doi.org/10.15381/pes.v14i1.9580Keywords:
Semigroup, local solution, comparison techniques, monotony, positivity.Abstract
In this paper we present the study of the local and global existence and the solution of a semilinear parabolic problem. The study has been specifically done through the equation of heat with Dirichlet boundary conditions in a regular – border, marked and open domain. We deal with the local and global solution, present the estimates of the solution in espace years that under a hypothesis on non-linearity, first on a sign condition and then on derivative one, allows us to conclude the existence of a global solution of the problem.
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Copyright (c) 2011 Nancy Moya Lazáro, Félix Pariona Vilca, Carlos Castañeda Yaya, Jacinto Mendoza Solís, Luis Miguel Núñez Ramírez
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