Before revision: A function u is said to be of special bounded deformation if the Cantor part of ε(u) vanishes, so that the measure can be written as where H n−1 | Ju denotes H n−1 on the jump set Ju and denotes the symmetrized dyadic product: The collection of all functions of bounded deformation is denoted SBD(Ω; Rn), or simply SBD.
After revision: specialA function u is said to be of special bounded deformation if the Cantor part of ε(u) vanishes, so that the measure can be written as where H n−1 | Ju denotes H n−1 on the jump set Ju and denotes the symmetrized dyadic product: The collection of all functions of bounded deformation is denoted SBD(Ω; Rn), or simply SBD.