A parabolic analogue of Finn's maximum principle

We obtain a parabolic analogue of the well-known maximum principle established by R. Finn for solutions of the minimal surface equation.

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Bibliographic Details
Main Author: Vasyl V. Kurta
Format: Article
Language:English
Published: Wiley 1998-01-01
Series:Abstract and Applied Analysis
Subjects:
Online Access:http://dx.doi.org/10.1155/S1085337598000530
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author Vasyl V. Kurta
author_facet Vasyl V. Kurta
author_sort Vasyl V. Kurta
collection DOAJ
description We obtain a parabolic analogue of the well-known maximum principle established by R. Finn for solutions of the minimal surface equation.
format Article
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institution Kabale University
issn 1085-3375
language English
publishDate 1998-01-01
publisher Wiley
record_format Article
series Abstract and Applied Analysis
spelling doaj-art-10a8652eff404e38a2dbed4582cde7322025-02-03T05:58:51ZengWileyAbstract and Applied Analysis1085-33751998-01-0131-222923610.1155/S1085337598000530A parabolic analogue of Finn's maximum principleVasyl V. Kurta0Steklov Mathematical Institute, Gubkin Str. 8, Moscow 117966, RussiaWe obtain a parabolic analogue of the well-known maximum principle established by R. Finn for solutions of the minimal surface equation.http://dx.doi.org/10.1155/S1085337598000530Comparison principleelliptic equationFinn's maximum principleheat equationminimal surface equationparabolic equationsubsolutionssupersolutions.
spellingShingle Vasyl V. Kurta
A parabolic analogue of Finn's maximum principle
Abstract and Applied Analysis
Comparison principle
elliptic equation
Finn's maximum principle
heat equation
minimal surface equation
parabolic equation
subsolutions
supersolutions.
title A parabolic analogue of Finn's maximum principle
title_full A parabolic analogue of Finn's maximum principle
title_fullStr A parabolic analogue of Finn's maximum principle
title_full_unstemmed A parabolic analogue of Finn's maximum principle
title_short A parabolic analogue of Finn's maximum principle
title_sort parabolic analogue of finn s maximum principle
topic Comparison principle
elliptic equation
Finn's maximum principle
heat equation
minimal surface equation
parabolic equation
subsolutions
supersolutions.
url http://dx.doi.org/10.1155/S1085337598000530
work_keys_str_mv AT vasylvkurta aparabolicanalogueoffinnsmaximumprinciple
AT vasylvkurta parabolicanalogueoffinnsmaximumprinciple