Strong solvability for a class of nonlinear parabolic equations

Strong solvability for a class of nonlinear parabolic equations

Existence of strong solutions to Cauchy-Dirichlet problem for nonlinear parabolic equation is established. The nonlinear operator is prescribed by Carathéodory's function which satisfies an ellipticity condition due to S. Campanato. The main results are reached through Aleksandrov-Bakel'ma...

Full description

Bibliographic Details
Main Author: Lubomira Softova
Format: Article
Language:English
Published: Università degli Studi di Catania 1997-05-01
Series:Le Matematiche
Online Access:http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/394
id doaj-5e431809b82e40208ab1e07fccf95cbb
record_format Article
spelling doaj-5e431809b82e40208ab1e07fccf95cbb2020-11-25T03:58:33ZengUniversità degli Studi di CataniaLe Matematiche0373-35052037-52981997-05-015215970366Strong solvability for a class of nonlinear parabolic equationsLubomira SoftovaExistence of strong solutions to Cauchy-Dirichlet problem for nonlinear parabolic equation is established. The nonlinear operator is prescribed by Carathéodory's function which satisfies an ellipticity condition due to S. Campanato. The main results are reached through Aleksandrov-Bakel'man-Pucci type maximum principle and topological fixed point theorem.<br />http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/394
collection DOAJ
language English
format Article
sources DOAJ
author Lubomira Softova
spellingShingle Lubomira Softova
Strong solvability for a class of nonlinear parabolic equations
Le Matematiche
author_facet Lubomira Softova
author_sort Lubomira Softova
title Strong solvability for a class of nonlinear parabolic equations
title_short Strong solvability for a class of nonlinear parabolic equations
title_full Strong solvability for a class of nonlinear parabolic equations
title_fullStr Strong solvability for a class of nonlinear parabolic equations
title_full_unstemmed Strong solvability for a class of nonlinear parabolic equations
title_sort strong solvability for a class of nonlinear parabolic equations
publisher Università degli Studi di Catania
series Le Matematiche
issn 0373-3505
2037-5298
publishDate 1997-05-01
description Existence of strong solutions to Cauchy-Dirichlet problem for nonlinear parabolic equation is established. The nonlinear operator is prescribed by Carathéodory's function which satisfies an ellipticity condition due to S. Campanato. The main results are reached through Aleksandrov-Bakel'man-Pucci type maximum principle and topological fixed point theorem.<br />
url http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/394
work_keys_str_mv AT lubomirasoftova strongsolvabilityforaclassofnonlinearparabolicequations
_version_ 1724456601750863872

Similar Items