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...
| Main Authors: | , |
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| Format: | Article |
| Sprog: | English |
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AIMS Press
2022-04-01
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| Serier: | AIMS Mathematics |
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| Online adgang: | https://www.aimspress.com/article/doi/10.3934/math.2022631?viewType=HTML |