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.
Nontangential estimates on layer potentials and the Neumann problem for higher order elliptic equations
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abstract
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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math.AP 1years
2019 1verdicts
UNVERDICTED 1representative citing papers
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The $\dot W^{-1,p}$ Neumann problem for higher order elliptic equations
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.