NON LOCAL APPROXIMATION OF FREE DISCONTINUITY PROBLEMS WITH LINEAR GROWTH

Luca Lussardi; Enrico Vitali

doi:10.1051/cocv:2007008

NON LOCAL APPROXIMATION OF FREE DISCONTINUITY PROBLEMS WITH LINEAR GROWTH

Luca Lussardi, Enrico Vitali

Dipartimento di Matematica F. Casorati

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

We approximate, in the sense of Gamma-convergence, free-discontinuity functionals with linear growth in the gradient by a sequence of non-local integral functionals depending on the average of the gradients on small balls. The result extends to higher dimension what we already proved in the one-dimensional case.

Original language	English
Pages (from-to)	135-162
Number of pages	28
Journal	ESAIM. COCV
Volume	13
DOIs	https://doi.org/10.1051/cocv:2007008
Publication status	Published - 2007
Externally published	Yes

Keywords

free discontinuity problems

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10.1051/cocv:2007008

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title = "NON LOCAL APPROXIMATION OF FREE DISCONTINUITY PROBLEMS WITH LINEAR GROWTH",

abstract = "We approximate, in the sense of Gamma-convergence, free-discontinuity functionals with linear growth in the gradient by a sequence of non-local integral functionals depending on the average of the gradients on small balls. The result extends to higher dimension what we already proved in the one-dimensional case.",

keywords = "free discontinuity problems, free discontinuity problems",

author = "Luca Lussardi and Enrico Vitali",

year = "2007",

doi = "10.1051/cocv:2007008",

language = "English",

volume = "13",

pages = "135--162",

journal = "ESAIM. COCV",

issn = "1292-8119",

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TY - JOUR

T1 - NON LOCAL APPROXIMATION OF FREE DISCONTINUITY PROBLEMS WITH LINEAR GROWTH

AU - Lussardi, Luca

AU - Vitali, Enrico

PY - 2007

Y1 - 2007

N2 - We approximate, in the sense of Gamma-convergence, free-discontinuity functionals with linear growth in the gradient by a sequence of non-local integral functionals depending on the average of the gradients on small balls. The result extends to higher dimension what we already proved in the one-dimensional case.

AB - We approximate, in the sense of Gamma-convergence, free-discontinuity functionals with linear growth in the gradient by a sequence of non-local integral functionals depending on the average of the gradients on small balls. The result extends to higher dimension what we already proved in the one-dimensional case.

KW - free discontinuity problems

UR - http://hdl.handle.net/10807/1973

U2 - 10.1051/cocv:2007008

DO - 10.1051/cocv:2007008

M3 - Article

SN - 1292-8119

VL - 13

SP - 135

EP - 162

JO - ESAIM. COCV

JF - ESAIM. COCV

ER -

NON LOCAL APPROXIMATION OF FREE DISCONTINUITY PROBLEMS WITH LINEAR GROWTH

Abstract

Keywords

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