Large time behavior for nonlinear higher order convection–diffusion equations
Mahmoud Qafsaoui · Annales de l Institut Henri Poincaré C Analyse Non Linéaire · 2006
We study the large time asymptotic behavior, in L p (1 p ∞), of higher derivatives D γ u(t) of solutions of the nonlinear equationwhere the integers n and θ are bigger than or equal to 1, a is a constant vector in R p with p = θ+n-1 n-1 = (θ+n-1)!θ!(n-1)! .The function ψ is a nonlinearity such that ψ ∈ C θ (R) and ψ(0) = 0, and T is a higher order elliptic operator with nonsmooth bounded measurable coefficients on R n .We also establish faster decay when u