Nontangential Estimates on Layer Potentials and the Neumann Problem for Higher-Order Elliptic Equations

Ariel Barton; Steve Hofmann; Svitlana Mayboroda

doi:10.1093/imrn/rnaa051

Nontangential Estimates on Layer Potentials and the Neumann Problem for Higher-Order Elliptic Equations

Ariel Barton, Steve Hofmann, Svitlana Mayboroda

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

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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.

Original language	English (US)
Pages (from-to)	18300-18366
Number of pages	67
Journal	International Mathematics Research Notices
Volume	2021
Issue number	23
DOIs	https://doi.org/10.1093/imrn/rnaa051
State	Published - Dec 1 2021
Externally published	Yes

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© 2020 The Author(s) 2020. Published by Oxford University Press. All rights reserved. For permissions, please e-mail: [email protected].

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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.",

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

year = "2021",

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AU - Hofmann, Steve

AU - Mayboroda, Svitlana

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AB - 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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Nontangential Estimates on Layer Potentials and the Neumann Problem for Higher-Order Elliptic Equations

Abstract

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