We study the lower semicontinuity of some free discontinuity functionals with linear growth defined on the space of functions with bounded deformation. The volume term is convex and depends only on the Euclidean norm of the symmetrized gradient. We introduce a suitable class of surface terms, which make the functional lower semicontinuous with respect to L1 convergence. © 2017 by De Gruyter.INGLESE
Lower semicontinuity of a class of integral functionals on the space of functions of bounded deformation / Dal Maso, Gianni; Orlando, Gianluca; Toader, Rodica. - In: ADVANCES IN CALCULUS OF VARIATIONS. - ISSN 1864-8258. - STAMPA. - 10:2(2017), pp. 183-207. [10.1515/acv-2015-0036]
Lower semicontinuity of a class of integral functionals on the space of functions of bounded deformation
Orlando, Gianluca;
2017-01-01
Abstract
We study the lower semicontinuity of some free discontinuity functionals with linear growth defined on the space of functions with bounded deformation. The volume term is convex and depends only on the Euclidean norm of the symmetrized gradient. We introduce a suitable class of surface terms, which make the functional lower semicontinuous with respect to L1 convergence. © 2017 by De Gruyter.INGLESEI documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
