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摘要
In this paper, we study the large time behavior of solutions to the fractional porous medium equation ut = backward difference center dot (u backward difference alpha-1u) in RN with 0 < alpha < 2. More precisely, we reveal that for any given 0 < mu < N2N +alpha and beta > 2-mu 2 alpha , there exists an initial-value u0(x) such that the complexity of asymptotic behavior mu for the rescaled solutions t 2 u(t beta center dot, t) occurs in C0+ (RN). For this purpose, we apply the L1-L infinity smoothing effect and establish the propagation estimates for the solutions.
