New approach to prove the existence of classical solutions for a class of nonlinear parabolic equations

New approach to prove the existence of classical solutions for a class of nonlinear parabolic equations

ABSTRACT In this article, we consider a class of nonlinear parabolic equations. We use an integral representation combined with a sort of fixed point theorem to prove the existence of classical solutions for the initial value problem (1.1), (1.2). We also obtain a result on continuous dependence on...

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Bibliographic Details
Main Authors: Georgiev,Svetlin G., Zennir,Khaled
Language:English
Published: Universidad de La Frontera. Departamento de Matemática y Estadística. 2018
Subjects:
parabolic equation
existence
differentiability with respect to the initial data
Online Access:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462018000200023
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