Limit behaviour of constant distance boundaries of Jordan curves

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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Chi tiết về thư mục
Những tác giả chính:	Feifei Qu, Xin Wei
Định dạng:	Bài viết
Ngôn ngữ:	English
Được phát hành:	AIMS Press 2022-04-01
Loạt:	AIMS Mathematics
Những chủ đề:	constant distance boundary hausdorff distance jordan curve
Truy cập trực tuyến:	https://www.aimspress.com/article/doi/10.3934/math.2022631?viewType=HTML

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