A weighted $L_p$-theory for second-order elliptic and parabolic partial differential systems on a half space

Abstract

In this paper we develop a Fefferman-Stein theorem, a Hardy-Littlewood theorem and sharp function estimations in weighted Sobolev spaces. We also provide uniqueness and existence results for second-order elliptic and parabolic partial differential systems in weighed Sobolev spaces.

Cited by in corpus (1)

• A weighted $L_p$-theory for parabolic PDEs with BMO coefficients on $C^1$-domains