|
|||||
|
|
Relaxation of bulk and interfacial energies |
|
| Authors: | Ana Cristina Barroso Guy Bouchitté Giuseppe Buttazzo Irene Fonseca |
| Institution: | 1. Department of Mathematics, Carnegie Mellon University, 15213, Pittsburgh, Pennsylvania 2. Départment de Mathématiques, Université de Toulon et du Var, BP132, 83957, La Garde Cedex, France 3. Dipartimento di Matematica, Università di Pisa, Via Buonarroti, 2, 56127, Pisa, Italy |
| Abstract: | In this paper we obtain an integral representation for the relaxation inBV(Ω; ? p ) of the functional $$u \mapsto \int\limits_\Omega {f(x.\nabla u(x))dx + \int\limits_{\sum _{(u)} } {\varphi (x,u](x),v(x))dH_{N - 1} (x)} }$$ with respect to theBV weak * convergence. |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ | |