We provide a variational approximation for quasiconvex energies defined on vector valued special functions with bounded variation. We extend the Ambrosio-Tortorelli's construction to the vectorial case.
ON THE VARIATIONAL APPROXIMATION OF FREE DISCONTINUITY PROBLEMS IN THE VECTORIAL CASE / M. FOCARDI. - In: MATHEMATICAL MODELS AND METHODS IN APPLIED SCIENCES. - ISSN 0218-2025. - STAMPA. - 11:(2001), pp. 663-684. [10.1142/S0218202501001045]
ON THE VARIATIONAL APPROXIMATION OF FREE DISCONTINUITY PROBLEMS IN THE VECTORIAL CASE
FOCARDI, MATTEO
2001
Abstract
We provide a variational approximation for quasiconvex energies defined on vector valued special functions with bounded variation. We extend the Ambrosio-Tortorelli's construction to the vectorial case.
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