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A characterization of gradient Young-concentration measures generated by solutions of Dirichlet-type problems with large sources
Published online by Cambridge University Press: 19 July 2008
Abstract
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 ε-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.
- Type
- Research Article
- Information
- ESAIM: Control, Optimisation and Calculus of Variations , Volume 15 , Issue 4 , October 2009 , pp. 818 - 838
- Copyright
- © EDP Sciences, SMAI, 2008