On the asymptotic behavior for convection-diffusion equations associated to higher order elliptic operators in divergence form.

Kirane, Mokhtar, and Qafsaoui, Mahmoud. "On the asymptotic behavior for convection-diffusion equations associated to higher order elliptic operators in divergence form.." Revista Matemática Complutense 15.2 (2002): 585-598. <http://eudml.org/doc/44362>.

@article{Kirane2002,
abstract = {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 bounded measurable coefficients on Rn. The aim of this paper is to study the asymptotic behavior, in Lp (1 ≤ p ≤ ∞), of the derivatives Dγu(t) of the solution of the convection-diffusion equation when t tends to ∞.},
author = {Kirane, Mokhtar, Qafsaoui, Mahmoud},
journal = {Revista Matemática Complutense},
keywords = {Operadores elípticos; Ecuaciones parabólicas; Comportamiento asintótico; non-smooth bounded measurable coefficients},
language = {eng},
number = {2},
pages = {585-598},
title = {On the asymptotic behavior for convection-diffusion equations associated to higher order elliptic operators in divergence form.},
url = {http://eudml.org/doc/44362},
volume = {15},
year = {2002},
}

TY - JOUR
AU - Kirane, Mokhtar
AU - Qafsaoui, Mahmoud
TI - On the asymptotic behavior for convection-diffusion equations associated to higher order elliptic operators in divergence form.
JO - Revista Matemática Complutense
PY - 2002
VL - 15
IS - 2
SP - 585
EP - 598
AB - 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 bounded measurable coefficients on Rn. The aim of this paper is to study the asymptotic behavior, in Lp (1 ≤ p ≤ ∞), of the derivatives Dγu(t) of the solution of the convection-diffusion equation when t tends to ∞.
LA - eng
KW - Operadores elípticos; Ecuaciones parabólicas; Comportamiento asintótico; non-smooth bounded measurable coefficients
UR - http://eudml.org/doc/44362
ER -