Theodore K. Boni, Diabate Nabongo
Abstract:
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.
Submitted December 4, 2007. Published January 17, 2008.
Math Subject Classifications: 35B40, 35B50, 35K60.
Key Words: Parabolic boundary value problem; asymptotic behavior;
nonlinear boundary conditions.
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Théodore K. Boni Institut National Polytechnique Houphout-Boigny de Yamoussoukro BP 1093 Yamoussoukro, Cô:te d'Ivoire email: theokboni@yahoo.fr |
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Diabate Nabongo Université d'Abobo-Adjamé, UFR-SFA Département de Mathématiques et Informatiques 16 BP 372 Abidjan 16, Côte d'Ivoire email: nabongo_diabate@yahoo.fr |
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