Attractivity properties of nonnegative solutions for a class of nonlinear degenerate parabolic problems. (English) Zbl 0556.35083
The authors study the large time behavior of nonnegative solutions to an initial-boundary value problem. Using monotonicity methods they investigate attractivity properties to the associated stationary problem. Finally they apply the results to two models suggested by population dynamics.
Reviewer: J.Schoenenberger-Deuel
MSC:
| 35K60 | Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations |
| 35B40 | Asymptotic behavior of solutions to PDEs |
| 92D25 | Population dynamics (general) |
| 35B30 | Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs |
| 35K65 | Degenerate parabolic equations |
Keywords:
large time behavior; nonnegative solutions; initial-boundary value problem; monotonicity methods; attractivity properties; stationary problem; population dynamicsReferences:
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