A Density Result in Two-Dimensional Linearized Elasticity,and Applications |
| |
Authors: | Antonin Chambolle |
| |
Institution: | (1) CEREMADE (CNRS UMR 7534), Université de Paris-Dauphine, place de Lattre de Tassigny, 75775 Paris CEDEX 16, France. e-mail: antonin.chambolle@ceremade.dauphine.fr, FR |
| |
Abstract: | We show that in a two-dimensional bounded open set whose complement has a finite number of connected components, the vector
fields uH
1
(Ωℝ2) are dense in the space of fields whose symmetrized gradient e(u) is in L
2
(Ωℝ4). This allows us to show the continuity of some linearized elasticity problems with respect to variations of the set, with
applications to shape optimization or the study of crack evolution.
(Accepted September 18, 2002)
Published online February 4, 2003
Commmunicated by V. Šverák |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|