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On the asymptotic positivity of solutions for the extended Fisher-Kolmogorov equation with nonlinear diffusion. (English) Zbl 0997.35027
In this paper, the author proves positivity of solutions for a semilinear dissipative partial differential equation with nonlinear diffusion. The equation is a generalized model of the Fisher-Kolmogrov equation and represents a class of dissipative partial differential equation containing differential operators of higher order.
Reviewer: Jiaqi Mo (Wuhu)
MSC:
35K55Nonlinear parabolic equations
35B05Oscillation, zeros of solutions, mean value theorems, etc. (PDE)
35B40Asymptotic behavior of solutions of PDE
35B41Attractors (PDE)