Geodesic
Asymptotic behavior of solutions to nonlinear parabolic equation with nonlinear boundary conditions
Electronic journal of differential equations, Tome 2008 (2008)
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.
Classification : 35B40, 35B50, 35K60
Keywords: parabolic boundary value problem, asymptotic behavior, nonlinear boundary conditions 
@article{EJDE_2008__2008__a76,
     author = {Boni,  Theodore K. and Nabongo,  Diabate},
     title = {Asymptotic behavior of solutions to nonlinear parabolic equation with nonlinear boundary conditions},
     journal = {Electronic journal of differential equations},
     year = {2008},
     volume = {2008},
     zbl = {1138.35351},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2008__2008__a76/}
}
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Boni,  Theodore K.; Nabongo,  Diabate. Asymptotic behavior of solutions to nonlinear parabolic equation with nonlinear boundary conditions. Electronic journal of differential equations, Tome 2008 (2008). http://geodesic.mathdoc.fr/item/EJDE_2008__2008__a76/