| Автор | Braides, Andrea |
| Автор | Fonseca, Irene |
| Автор | Leoni, Giovanni |
| Дата выпуска | 2000 |
| dc.description | Integral representation of relaxed energies and of Γ-limits of functionals $$ (u,v)\mapsto \int_\Omega f( x,u(x),v(x))\,dx $$ are obtained when sequences of fields v may develop oscillations and are constrained to satisfy a system of first order linear partial differential equations. This framework includes the treatement of divergence-free fields, Maxwell's equations in micromagnetics, and curl-free fields. In the latter case classical relaxation theorems in W<sup>1,p</sup> , are recovered. |
| Формат | application.pdf |
| Издатель | EDP Sciences |
| Копирайт | © EDP Sciences, SMAI, 2000 |
| Тема | ${\cal A}$-quasiconvexity |
| Тема | equi-integrability |
| Тема | Young measure |
| Тема | relaxation |
| Тема | Γ-convergence |
| Тема | homogenization. |
| Название | A-Quasiconvexity: Relaxation and Homogenization |
| Тип | research-article |
| DOI | 10.1051/cocv:2000121 |
| Electronic ISSN | 1262-3377 |
| Print ISSN | 1292-8119 |
| Журнал | ESAIM: Control, Optimisation and Calculus of Variations |
| Том | 5 |
| Первая страница | 539 |
| Последняя страница | 577 |
| Аффилиация | Braides Andrea; SISSA, Trieste, Italy; braides@sissa.it. |
| Аффилиация | Fonseca Irene; Department of MathematicalSciences, Carnegie-Mellon University, Pittsburgh, PA, U.S.A.; fonseca@andrew.cmu.edu. |
| Аффилиация | Leoni Giovanni; Dipartimento di Scienze e Tecnologie Avanzate, Università del Piemonte Orientale, Alessandria, Italy; leoni@al.unipmn.it. |
