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Annali di Matematica Pura ed Applicata (1923 -)
Article . 1981 . Peer-reviewed
License: Springer TDM
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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
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Article . 1981
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https://dx.doi.org/10.1007/bf0...
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A perturbation study of the obstacle problem by means of a generalized implicit function theorem

descriptionPublicationkeyboard_double_arrow_right Article 01 Dec 1981 English Publisher:Springer Science and Business Media LLCJournal:Annali di Matematica Pura ed Applicata, volume 127, pages 321-364 (issn: 0373-3114, eissn: 1618-1891, Copyright policy )
Authors: Dervieux, Alain;

doi: 10.1007/bf01811729

A perturbation study of the obstacle problem by means of a generalized implicit function theorem

Abstract

The Nash-Moser Implicit Function Theorem is applied to the study of the perturbation of the geometrical domain of an Obstacle Problem, considered as a Free Boundary Problem in an annular region of the plane. Applications to Optimal Control are derived and numerical results are given.

Keywords

Inverse problems for PDEs, Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation, perturbation, inverse problems, Perturbations in context of PDEs, Nash-Moser implicit function theorem, Existence theories for optimal control problems involving partial differential equations, Variational inequalities, free boundary problem, optimal control, obstacle problem, geometrical domain, Free boundary problems for 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!
3
Average
Average
Average
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