LIU Qiang, ZHANG Liwei. Asymptotic Behaviors of Solutions for a Nonlinear Singular Parabolic Equation[J]. Acta Scientiarum Naturalium Universitatis SunYatseni, 2015,54(2):55-58.
LIU Qiang, ZHANG Liwei. Asymptotic Behaviors of Solutions for a Nonlinear Singular Parabolic Equation[J]. Acta Scientiarum Naturalium Universitatis SunYatseni, 2015,54(2):55-58.DOI:
By compactness argument and a priori estimate technique
the asymptotic behaviors of solutions
as λ→0
+
and λ→+∞ respectively
for a nonlinear singular parabolic equation are studied
where λ is a parameter of this equation. And the convergence rates of solutions are established. A deep relation between the equation considered here and the evolutionary p-Laplace equation is revealed.