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image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Zeitschrift für ange...arrow_drop_down
image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
Zeitschrift für angewandte Mathematik und Physik
Article . 1975 . Peer-reviewed
License: Springer TDM
Data sources: Crossref
image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
zbMATH Open
Article . 1975
Data sources: zbMATH Open
https://dx.doi.org/10.1007/bf0...
Article
Data sources: Microsoft Academic Graph
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Claim

A saint-venant principle for the gradient in the Neumann problem

A Saint-Venant principle for the gradient in the Neumann problem
descriptionPublicationkeyboard_double_arrow_right Article 01 Mar 1975 English Publisher:Springer Science and Business Media LLCJournal:Zeitschrift für angewandte Mathematik und Physik ZAMP, volume 26, pages 141-153 (issn: 0044-2275, eissn: 1420-9039, Copyright policy )
Authors: Wheeler, Lewis T.; Turteltaub, Matias J.; Horgan, Cornelius O.;

doi: 10.1007/bf01591502

A saint-venant principle for the gradient in the Neumann problem

Abstract

The maximum principle for subharmonic functions is used to obtain upper bounds for the gradient in the Neumann problem of potential theory. These bounds, which concern a curvilinear strip domain having nonzero boundary data only on an end, entail an exponential decay of the gradient magnitude with distance from that end.

Related Organizations
Keywords

Boundary value and inverse problems for harmonic functions in two dimensions, Boundary value problems for second-order elliptic equations, A priori estimates in context of PDEs

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
7
Average
Top 10%
Top 10%
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