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

dc.creator	Georgiev, Svetlin G.
dc.creator	Zennir, Khaled
dc.date	2018-07-31
dc.identifier	http://revistas.ufro.cl/ojs/index.php/cubo/article/view/2048
dc.identifier	10.4067/S0719-06462018000200023
dc.description	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 the initial data. We propose a new approach for investigation for existence of classical solutions of some classes nonlinear parabolic equations.	en-US
dc.format	application/pdf
dc.language	eng
dc.publisher	Universidad de La Frontera. Temuco, Chile.	en-US
dc.relation	http://revistas.ufro.cl/ojs/index.php/cubo/article/view/2048/1839
dc.source	CUBO, A Mathematical Journal; Vol. 20 No. 2 (2018); 23–39	en-US
dc.source	CUBO, A Mathematical Journal; Vol. 20 Núm. 2 (2018); 23–39	es-ES
dc.source	0719-0646
dc.source	0716-7776
dc.subject	parabolic equation	en-US
dc.subject	existence	en-US
dc.subject	differentiability with respect to the initial data	en-US
dc.title	New approach to prove the existence of classical solutions for a class of nonlinear parabolic equations	en-US
dc.type	info:eu-repo/semantics/article
dc.type	info:eu-repo/semantics/publishedVersion