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On approximate differentiability of functions with bounded deformation

✍ Scribed by Piotr Hajłasz


Book ID
110558597
Publisher
Springer
Year
1996
Tongue
English
Weight
508 KB
Volume
91
Category
Article
ISSN
0025-2611

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An approximation result for special func
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A "special displacement with bounded deformation" is a function u : Ω ⊂ R N → R N whose symmetrized gradient is a bounded measure which coincides, outside a (N -1)-dimensional rectifiable "jump set" J u , with a summable function e(u). We show that in dimension N = 2, when u and e(u) are square inte