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

Ariel Barton; Steve Hofmann; Svitlana Mayboroda

doi:10.1112/plms.12241

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

Ariel Barton, Steve Hofmann, Svitlana Mayboroda

School of Mathematics

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

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.

Original language	English (US)
Pages (from-to)	613-653
Number of pages	41
Journal	Proceedings of the London Mathematical Society
Volume	119
Issue number	3
DOIs	https://doi.org/10.1112/plms.12241
State	Published - Sep 1 2019

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Publisher Copyright:
© 2019 London Mathematical Society

Keywords

31B10 (secondary)
35J30 (primary)

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10.1112/plms.12241

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title = "Bounds on layer potentials with rough inputs for higher order elliptic equations",

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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author = "Ariel Barton and Steve Hofmann and Svitlana Mayboroda",

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AU - Hofmann, Steve

AU - Mayboroda, Svitlana

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KW - 35J30 (primary)

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JO - Proceedings of the London Mathematical Society

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

Abstract

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