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

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

2012-04-11

arxiv.org/abs/1204.2325v1

Mathematics

Analysis of PDEs

Scientific paper

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.

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