Integral representation results in $BV\times L^p$

Carita, Graça; Zappale, Elvira

ESAIM: Control, Optimisation and Calculus of Variations, Tome 23 (2017) no. 4, pp. 1555-1599.

Integral representation results are obtained for the relaxation of some classes of energy functionals depending on two vector fields with different behaviors, which may appear in the context of image decomposition and thermochemical equilibrium problems.

Classification : 49J45, 74Q05
Mots clés : Relaxation, convexity-quasiconvexity, functions of bounded variation

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