On the asymptotic behavior for convection-diffusion equations associated to higher order elliptic operators in divergence form
Résumé
We consider the linear convection-diffusion equation associated to higher order elliptic operators (ut + Ltu = aru on Rn × (0,1) u(0) = u0 2 L1(Rn), (1) where a is a constant vector in Rn, m 2 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 _ 1), of the derivatives Du(t) of the solution of (1) when t tends to 1.Téléchargements
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Publié-e
2002-01-01
Comment citer
Kirane M. y Qafsaoui M. (2002). On the asymptotic behavior for convection-diffusion equations associated to higher order elliptic operators in divergence form. Revista Matemática Complutense, 15(2), 585-598. https://doi.org/10.5209/rev_REMA.2002.v15.n2.16930
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