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arXiv · 1703.06847

Bounds on layer potentials with rough inputs for higher order elliptic equations

Ariel Barton·Steve Hofmann·Svitlana Mayboroda
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Abstract

In this paper we establish square-function estimates on the double and single layer potentials with rough inputs for divergence form elliptic operators, of arbitrary even order 2m, with variable t-independent coefficients in the upper half-space.

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Ariel Barton, Steve Hofmann, Svitlana Mayboroda. 2017-03-20. Bounds on layer potentials with rough inputs for higher order elliptic equations. https://doi.org/10.1112/plms.12241

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