Given a function u : OMEGA subset-or-equal-to --> R, we introduce a notion of total variation of u depending on a possibly discontinuous Finsler metric. We prove some integral representation results for this total variation, and we study the connections with the theory of relaxation.
Amar, M., Bellettini, G. (1994). A notion of total variation depending on a metric with discontinuous coefficients. ANNALES DE L INSTITUT HENRI POINCARÉ. ANALYSE NON LINÉAIRE, 11(1), 91-133.
A notion of total variation depending on a metric with discontinuous coefficients
Bellettini, G.
1994-01-01
Abstract
Given a function u : OMEGA subset-or-equal-to --> R, we introduce a notion of total variation of u depending on a possibly discontinuous Finsler metric. We prove some integral representation results for this total variation, and we study the connections with the theory of relaxation.
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Utilizza questo identificativo per citare o creare un link a questo documento:
https://hdl.handle.net/11365/1017502