@article {9991,
	title = {Generalised functions of bounded deformation},
	journal = {J. Eur. Math. Soc. (JEMS), to appear},
	year = {2011},
	publisher = {SISSA},
	abstract = {<p>We introduce the space GBD of generalized functions of bounded deformation and study the structure properties of these functions: the rectifiability and the slicing properties of their jump sets, and the existence of their approximate symmetric gradients. We conclude by proving a compactness results for GBD, which leads to a compactness result for the space GSBD of generalized special functions of bounded deformation. The latter is connected to the existence of solutions to a weak formulation of some variational problems arising in fracture mechanics in the framework of linearized elasticity.</p>},
	keywords = {free discontinuity problems, special functions of bounded deformation, jump set, rec- tifiability, slicing, approximate differentiability},
	url = {http://hdl.handle.net/1963/6374},
	author = {Gianni Dal Maso}
}
