Asymptotic Behavior of Solutions of a Periodic Diffusion Equation

Asymptotic Behavior of Solutions of a Periodic Diffusion Equation

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We consider a degenerate parabolic equation with logistic periodic sources.First, we establish the existence of nontrivial nonnegative periodic solutions by monotonicity method.Then by using Moser iterative technique and the method of contradiction, we establish Snow Glider the boundedness estimate of nonnegative periodic solutions, by which we show that the attraction of nontrivial nonnegative periodic solutions, that is, all non-trivial nonnegative solutions 7-Piece Dining Set of the initial boundary value problem, will lie between a minimal and a maximal nonnegative nontrivial periodic solutions, as time tends to infinity.