Asymptotic behavior of solutions to nonlinear parabolic equation with nonlinear boundary conditions

We show that solutions of a nonlinear parabolic equation of second order with nonlinear boundary conditions approach zero as t approaches infinity. Also, under additional assumptions, the solutions behave as a function determined here.

Bibliographic Details
Main Authors: Diabate Nabongo, Theodore K. Boni
Format: Article
Language:English
Published: Texas State University 2008-01-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2008/08/abstr.html
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spelling doaj-0a7477e46b734c449107e7222dfb94db2020-11-24T23:48:11ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912008-01-0120080819Asymptotic behavior of solutions to nonlinear parabolic equation with nonlinear boundary conditionsDiabate NabongoTheodore K. BoniWe show that solutions of a nonlinear parabolic equation of second order with nonlinear boundary conditions approach zero as t approaches infinity. Also, under additional assumptions, the solutions behave as a function determined here.http://ejde.math.txstate.edu/Volumes/2008/08/abstr.htmlParabolic boundary value problemasymptotic behaviornonlinear boundary conditions
collection DOAJ
language English
format Article
sources DOAJ
author Diabate Nabongo
Theodore K. Boni
spellingShingle Diabate Nabongo
Theodore K. Boni
Asymptotic behavior of solutions to nonlinear parabolic equation with nonlinear boundary conditions
Electronic Journal of Differential Equations
Parabolic boundary value problem
asymptotic behavior
nonlinear boundary conditions
author_facet Diabate Nabongo
Theodore K. Boni
author_sort Diabate Nabongo
title Asymptotic behavior of solutions to nonlinear parabolic equation with nonlinear boundary conditions
title_short Asymptotic behavior of solutions to nonlinear parabolic equation with nonlinear boundary conditions
title_full Asymptotic behavior of solutions to nonlinear parabolic equation with nonlinear boundary conditions
title_fullStr Asymptotic behavior of solutions to nonlinear parabolic equation with nonlinear boundary conditions
title_full_unstemmed Asymptotic behavior of solutions to nonlinear parabolic equation with nonlinear boundary conditions
title_sort asymptotic behavior of solutions to nonlinear parabolic equation with nonlinear boundary conditions
publisher Texas State University
series Electronic Journal of Differential Equations
issn 1072-6691
publishDate 2008-01-01
description We show that solutions of a nonlinear parabolic equation of second order with nonlinear boundary conditions approach zero as t approaches infinity. Also, under additional assumptions, the solutions behave as a function determined here.
topic Parabolic boundary value problem
asymptotic behavior
nonlinear boundary conditions
url http://ejde.math.txstate.edu/Volumes/2008/08/abstr.html
work_keys_str_mv AT diabatenabongo asymptoticbehaviorofsolutionstononlinearparabolicequationwithnonlinearboundaryconditions
AT theodorekboni asymptoticbehaviorofsolutionstononlinearparabolicequationwithnonlinearboundaryconditions
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