Large time behavior for nonlinear higher order convection–diffusion equations
On the asymptotic behavior for convection-diffusion equations associated to higher order elliptic operators in divergence form.
We consider the linear convection-diffusion equation associated to higher order elliptic operators ⎧ ut + Ltu = a∇u on Rnx(0,∞) ⎩ u(0) = u0 ∈ L1(Rn), where a is a constant vector in Rn, m ∈ N*, n ≥ 1 and L0 belongs to a class of higher order elliptic operators in divergence form associated to non-smooth...
Page 1