Hypothesis on the Solvability of Parabolic Equations with nonlocal Condition

Numerous and different nonlocal conditions for the solvability of parabolic equations were researched in many articles and reports. The article presented analyzes such conditions imposed, and observes that the existence and uniqueness of the solution of parabolic equation is related mainly to ”smal...

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Main Author:	Mifodijus Sapagovas
Format:	Article
Language:	English
Published:	Vilnius University Press 2002-06-01
Series:	Nonlinear Analysis
Subjects:	parabolic equation nonlocal condition finite difference method
Online Access:	http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/15204

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spelling	doaj-fde72703225849e0a21942641e75dd0f2020-11-25T01:45:19ZengVilnius University PressNonlinear Analysis1392-51132335-89632002-06-017110.15388/NA.2002.7.1.15204Hypothesis on the Solvability of Parabolic Equations with nonlocal ConditionMifodijus Sapagovas0Institute of Mathematics and Informatics, Lithuania Numerous and different nonlocal conditions for the solvability of parabolic equations were researched in many articles and reports. The article presented analyzes such conditions imposed, and observes that the existence and uniqueness of the solution of parabolic equation is related mainly to ”smallness” of functions, involved in nonlocal conditions. As a consequence the hypothesis has been made, stating the assumptions on functions in nonlocal conditions are related to numerical algorithms of solving parabolic equations, and not to the parabolic equation itself. http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/15204parabolic equationnonlocal conditionfinite difference method
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Mifodijus Sapagovas
spellingShingle	Mifodijus Sapagovas Hypothesis on the Solvability of Parabolic Equations with nonlocal Condition Nonlinear Analysis parabolic equation nonlocal condition finite difference method
author_facet	Mifodijus Sapagovas
author_sort	Mifodijus Sapagovas
title	Hypothesis on the Solvability of Parabolic Equations with nonlocal Condition
title_short	Hypothesis on the Solvability of Parabolic Equations with nonlocal Condition
title_full	Hypothesis on the Solvability of Parabolic Equations with nonlocal Condition
title_fullStr	Hypothesis on the Solvability of Parabolic Equations with nonlocal Condition
title_full_unstemmed	Hypothesis on the Solvability of Parabolic Equations with nonlocal Condition
title_sort	hypothesis on the solvability of parabolic equations with nonlocal condition
publisher	Vilnius University Press
series	Nonlinear Analysis
issn	1392-5113 2335-8963
publishDate	2002-06-01
description	Numerous and different nonlocal conditions for the solvability of parabolic equations were researched in many articles and reports. The article presented analyzes such conditions imposed, and observes that the existence and uniqueness of the solution of parabolic equation is related mainly to ”smallness” of functions, involved in nonlocal conditions. As a consequence the hypothesis has been made, stating the assumptions on functions in nonlocal conditions are related to numerical algorithms of solving parabolic equations, and not to the parabolic equation itself.
topic	parabolic equation nonlocal condition finite difference method
url	http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/15204
work_keys_str_mv	AT mifodijussapagovas hypothesisonthesolvabilityofparabolicequationswithnonlocalcondition
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Hypothesis on the Solvability of Parabolic Equations with nonlocal Condition

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