Nonvariational layer potentials with respect to Holder continuous vector fields

Gregory C. Verchota

doi:10.4171/RMI/491

Nonvariational layer potentials with respect to Holder continuous vector fields

Gregory C. Verchota

Department of Mathematics

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

2 Scopus citations

Abstract

Nontangential a.e. vanishing of the oblique derivative of a harmonic function with respect to a Holder continuous vector field on a Lipschitz boundary is shown to imply that the harmonic function is constant.

Original language	English (US)
Pages (from-to)	201-212
Number of pages	12
Journal	Revista Matematica Iberoamericana
Volume	23
Issue number	1
DOIs	https://doi.org/10.4171/RMI/491
State	Published - 2007

Keywords

Lipschitz domain
Oblique derivative
Uniqueness

ASJC Scopus subject areas

General Mathematics

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title = "Nonvariational layer potentials with respect to Holder continuous vector fields",

abstract = "Nontangential a.e. vanishing of the oblique derivative of a harmonic function with respect to a Holder continuous vector field on a Lipschitz boundary is shown to imply that the harmonic function is constant.",

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AB - Nontangential a.e. vanishing of the oblique derivative of a harmonic function with respect to a Holder continuous vector field on a Lipschitz boundary is shown to imply that the harmonic function is constant.

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KW - Oblique derivative

KW - Uniqueness

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Nonvariational layer potentials with respect to Holder continuous vector fields

Abstract

Keywords

ASJC Scopus subject areas

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