Electronic Journal of Differential Equations,
Vol. 2008(2008), No. 08, pp. 1-9.

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

Authors: Theodore K. Boni (Inst. National Polytech., Yamoussoukro, Cote d'Ivoire)
         Diabate Nabongo  (Univ. d'Abobo-Adjame, Cote d'Ivoire)

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.