Home > Articles > Published articles > Bilipschitz mappings with derivatives of bounded variation |
Date: | 2008 |
Abstract: | Let Ω ⊂ Rn be open and suppose that f : Ω → Rn is a bilipschitz mapping such that Df ∈ BVloc(Ω, Rn 2). We show that under these assumptions the inverse satisfies Df−1 ∈ BVloc(f(Ω), Rn 2). |
Rights: | Tots els drets reservats. |
Language: | Anglès |
Document: | Article ; recerca ; Versió publicada |
Subject: | Functions of bounded variation ; Inverse |
Published in: | Publicacions matemàtiques, V. 52 n. 1 (2008) p. 91-99, ISSN 2014-4350 |
9 p, 145.1 KB |