Limit behaviour of constant distance boundaries of Jordan curves

For a Jordan curve Γ in the complex plane, its constant distance boundary Γλ is an inflated version of Γ. A flatness condition, (1/2,r0)-chordal property, guarantees that Γλ is a Jordan curve when λ is not too large. We prove that Γλ converges to Γ, as λ approaching to 0, in the sense of Hausdorff d...

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Autori principali: Feifei Qu, Xin Wei
Natura: Articolo
Lingua:English
Pubblicazione: AIMS Press 2022-04-01
Serie:AIMS Mathematics
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Accesso online:https://www.aimspress.com/article/doi/10.3934/math.2022631?viewType=HTML