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Creators/Authors contains: "Sparrius, Derek"

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  1. ; (, Advanced Nonlinear Studies)
    Abstract We construct the Neumann function in a 1-sided chord-arc domain (i.e., a uniform domain with an Ahlfors regular boundary), and establish size and Hölder continuity estimates up to the boundary. We then obtain a Kenig-Pipher type theorem, in whichLpsolvability of the Neumann problem is shown to yield solvability inLqfor 1 <q<p, and in the Hardy spaceH1, in 2-sided chord-arc domains, under suitable background hypotheses. 
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    Free, publicly-accessible full text available February 25, 2026