Asymptotic behavior of nonlinear diffusions
Asymptotic behavior of nonlinear diffusions
We describe the asymptotic behavior as t → ∞ of the solution of ut = ∆pu in IR N , for (2N + 1)/(N + 1) ≤ p < N and non-negative, integrable initial data.Optimal rates in L q , q = 2 -1/(p -1) for the convergence towards a …