Density in and approximation of fracture energies
Vito Crismale
École Polytechnique, Palaiseau, France
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Abstract
We prove three density theorems, in the strong topology, for the three subspaces of functions: ; , where the absolutely continuous part of the symmetric gradient is in , with ; , whose functions are in and the jump set has finite -measure. We compare them with existing results, discussing related approximation of fracture energies.
Cite this article
Vito Crismale, Density in and approximation of fracture energies. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 30 (2019), no. 3, pp. 533–542
DOI 10.4171/RLM/859