書評 L.Ambrosio, N.Fusco and D.Pallara: Functions of Bounded Variation and Free Discontinuity Problems

By 菊地光嗣. 2002

166 citations recorded by the source corpus.

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A quantitative isoperimetric inequality for fractional perimeters (2010, background): “This isoperimetric inequality is improved here in a quantitative form.”
On the chain rule for the divergence of BV-like vector fields: applications, partial results, open problems (2007, background): “If µ is given by a distributional divergence D ·U , then µa, µj , and µc will be denoted respectively by Da · U , Dj · U , and Dc · U .”
Structure of null sets in the plane and applications (2005, methodology): “More precisely, one takes St equal to the reduced boundary of the sublevel {x : u(x) ≥ t}, thus St is rectifiable by De Giorgi’s theorem (see [3], Theorem 3.”