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arxiv: 1808.07137 · v1 · pith:NGPNGYQWnew · submitted 2018-08-21 · 🧮 math.AP

Nontangential estimates on layer potentials and the Neumann problem for higher order elliptic equations

Ariel Barton , Steve Hofmann , Svitlana Mayboroda This is my paper
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keywords estimateshighernontangentialorderellipticlayerneumannpotentials
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We solve the Neumann problem, with nontangential estimates, for higher order divergence form elliptic operators with variable $t$-independent coefficients. Our results are accompanied by nontangential estimates on higher order layer potentials.

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  1. The $\dot W^{-1,p}$ Neumann problem for higher order elliptic equations

    math.AP 2019-06 unverdicted novelty 5.0

    Establishes well-posedness of the dot W^{-1,p} Neumann problem for higher-order elliptic operators with t-independent self-adjoint coefficients in the half-space for max(0, 1/2 - 1/n - eps) < 1/p < 1/2.