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arXiv · 1508.04988

Square function estimates on layer potentials 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 for divergence-form elliptic operators, of arbitrary even order 2m, with variable t-independent coefficients in the upper half-space. This generalizes known results for variable-coefficient second-order operators, and also for constant-coefficient higher-order operators.

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Ariel Barton, Steve Hofmann, Svitlana Mayboroda. 2015-08-20. Square function estimates on layer potentials for higher-order elliptic equations. https://arxiv.org/abs/1508.04988

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