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April, 2007 Nonvariational layer potentials with respect to Hölder continuous vector fields
Gregory C. Verchota
Rev. Mat. Iberoamericana 23(1): 201-212 (April, 2007).

Abstract

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

Citation

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Gregory C. Verchota. "Nonvariational layer potentials with respect to Hölder continuous vector fields." Rev. Mat. Iberoamericana 23 (1) 201 - 212, April, 2007.

Information

Published: April, 2007
First available in Project Euclid: 1 June 2007

zbMATH: 1220.35034
MathSciNet: MR2351131

Subjects:
Primary: 31B10 , 35J25

Keywords: Lipschitz domain , oblique derivative , uniqueness

Rights: Copyright © 2007 Departamento de Matemáticas, Universidad Autónoma de Madrid

Vol.23 • No. 1 • April, 2007
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