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arxiv: 1204.2325 · v1 · pith:YMW7ZHTKnew · submitted 2012-04-11 · 🧮 math.AP

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

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keywords differentialellipticparabolicpartialsecond-ordersobolevspacessystems
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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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