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H-convergence of singular solutions of some Dirichlet problems with terms of order one

Subtitle: à François Murat pour ses 60 ans

Article type: Research Article

Authors: Boccardo, Lucio | Casado-Diaz, Juan

Affiliations: Dipartimento di Matematica, Piazza A. Moro 2, Roma, Italy. E-mail: [email protected] | Departamento de Ecuaciones Diferenciales y Análisis Numérico, Universidad de Sevilla, c/Tarfia, s/n, 41012 Sevilla, Spain. E-mail: [email protected]

Abstract: We study the H-convergence of boundary value problems of the type  −div(Mε(x)∇uε)=−div(uεEε(x))+f(x), inΩ,  uε=0 on∂Ω if Eε∈(L2(Ω))N.

Keywords: homogenization, H-convergence, entropic solutions

DOI: 10.3233/ASY-2009-0943

Journal: Asymptotic Analysis, vol. 64, no. 3-4, pp. 239-249, 2009

Published: 2009
Price: EUR 27.50
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