VARIATIONAL APPROXIMATION OF FREE-DISCONTINUITY ENERGIES WITH LINEAR GROWTH-Reference-Cited by-同舟云学术

VARIATIONAL APPROXIMATION OF FREE-DISCONTINUITY ENERGIES WITH LINEAR GROWTH

Published:2002-11 Issue:04 Volume:04 Page:685-723
ISSN:0219-1997
Container-title:Communications in Contemporary Mathematics
language:en
Short-container-title:Commun. Contemp. Math.

Author:

ALICANDRO ROBERTO¹,FOCARDI MATTEO²

Affiliation:

1. D.A.E.I.M.I, Via Di Biasio 43, I-03043 Cassino (FR), Italy

2. Dipartimento di Matematica "U. Dini", V.le Morgagni 67/A, I-50134 Firenze, Italy

Abstract

We provide a variational approximation for quasiconvex energies with linear growth, defined on vector valued generalized functions with bounded variation, in the framework of free-discontinuity problems.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219199702000816

Reference21 articles.

1. Free-discontinuity problems via functionals involving the L1-norm of the gradient and their approximations

2. Existence theory for a new class of variational problems

3. On the asymptotic behaviour of anisotropic energies arising in the cardiac bidomain model

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