A characterization of gradient Young-concentration measures generated by solutions of Dirichlet-type problems with large sources - Archive ouverte HAL
Article Dans Une Revue ESAIM: Control, Optimisation and Calculus of Variations Année : 2008

A characterization of gradient Young-concentration measures generated by solutions of Dirichlet-type problems with large sources

Résumé

We show how to capture the gradient concentration of the solutions of Dirichlet-type problems subjected to large sources of order ${1\over \sqrt \varepsilon}$ concentrated on an $\varepsilon$-neighborhood of a hypersurface of the domain. To this end we define the gradient Young-concentration measures generated by sequences of finite energy and establish a very simple characterization of these measures.
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Dates et versions

hal-00369367 , version 1 (19-03-2009)

Identifiants

Citer

Gisella Croce, Catherine Lacour, Gérard Michaille. A characterization of gradient Young-concentration measures generated by solutions of Dirichlet-type problems with large sources. ESAIM: Control, Optimisation and Calculus of Variations, 2008, pp.2008048. ⟨10.1051/cocv:2008048⟩. ⟨hal-00369367⟩
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