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Sequences of Non‐Local Functionals Which Approximate Free‐Discontinuity Problems

✍ Scribed by Guido Cortesani

Publisher
Springer
Year
1998
Tongue
English
Weight
516 KB
Volume
144
Category
Article
ISSN
0003-9527

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📜 SIMILAR VOLUMES

An approximation result for free discont
An approximation result for free discontinuity functionals by means of non-local energies
✍ Luca Lussardi 📂 Article 📅 2008 🏛 John Wiley and Sons 🌐 English ⚖ 133 KB

## Abstract We approximate, in the sense of Γ‐convergence, free discontinuity functionals with linear growth by a sequence of non‐local integral functionals depending on the average of the gradient on small balls. The result extends to a higher dimension what is already proved in (__Ann. Mat. Pura