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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Autores principales:	Georgiev,Svetlin G., Zennir,Khaled
Lenguaje:	English
Publicado:	Universidad de La Frontera. Departamento de Matemática y Estadística. 2018
Materias:	parabolic equation existence differentiability with respect to the initial data
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462018000200023
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spelling	oai:scielo:S0719-064620180002000232019-02-13New approach to prove the existence of classical solutions for a class of nonlinear parabolic equationsGeorgiev,Svetlin G.Zennir,Khaled parabolic equation existence differentiability with respect to the initial data 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 the initial data. We propose a new approach for investigation for existence of classical solutions of some classes nonlinear parabolic equations.info:eu-repo/semantics/openAccessUniversidad de La Frontera. Departamento de Matemática y Estadística.Cubo (Temuco) v.20 n.2 20182018-06-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462018000200023en10.4067/S0719-06462018000200023
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	parabolic equation existence differentiability with respect to the initial data
spellingShingle	parabolic equation existence differentiability with respect to the initial data Georgiev,Svetlin G. Zennir,Khaled New approach to prove the existence of classical solutions for a class of nonlinear parabolic equations
description	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 the initial data. We propose a new approach for investigation for existence of classical solutions of some classes nonlinear parabolic equations.
author	Georgiev,Svetlin G. Zennir,Khaled
author_facet	Georgiev,Svetlin G. Zennir,Khaled
author_sort	Georgiev,Svetlin G.
title	New approach to prove the existence of classical solutions for a class of nonlinear parabolic equations
title_short	New approach to prove the existence of classical solutions for a class of nonlinear parabolic equations
title_full	New approach to prove the existence of classical solutions for a class of nonlinear parabolic equations
title_fullStr	New approach to prove the existence of classical solutions for a class of nonlinear parabolic equations
title_full_unstemmed	New approach to prove the existence of classical solutions for a class of nonlinear parabolic equations
title_sort	new approach to prove the existence of classical solutions for a class of nonlinear parabolic equations
publisher	Universidad de La Frontera. Departamento de Matemática y Estadística.
publishDate	2018
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462018000200023
work_keys_str_mv	AT georgievsvetling newapproachtoprovetheexistenceofclassicalsolutionsforaclassofnonlinearparabolicequations AT zennirkhaled newapproachtoprovetheexistenceofclassicalsolutionsforaclassofnonlinearparabolicequations
_version_	1714206799762030592

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

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