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| Regularity of the p-Gauss Curvature Flow with Flat Sides |
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Citation： |
Genggeng HUANG,Xu-Jia WANG,Yang ZHOU.Regularity of the p-Gauss Curvature Flow with Flat Sides[J].Chinese Annals of Mathematics B,2025,46(3):341~358 |
| Page view： 113
Net amount： 44 |
Authors： |
Genggeng HUANG; Xu-Jia WANG;Yang ZHOU |
Foundation： |
the Key Project of National Natural Science Foundation of China (No.12131010), the National Natural Science Foundation of China (No. 12141105), the Australian ResearchCouncil (Nos. DP200101084, DP230100499), Zheng Ge Ru Foundation, Hong Kong Research GrantsCouncil (Nos. CUHK-14301421, CUHK-14300819, CUHK-14302819, CUHK-14300917) and GS CharityFoundation Limited-Fundamental Mathematics Talent Development of IMS. |
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| Abstract： |
The authors study the regularity of the p-Gauss curvature flow with flat sides.In their previous paper [Huang, G. G., Wang, X.-J. and Zhou, Y., Long time regularity ofthe p-Gauss curvature flow with flat side, https://arxiv.org/abs/2403.12292], they obtainedthe regularity of the interface, namely the boundary of the flat part. In this paper, theystudy the regularity of the convex hypersurface near the interface. |
Keywords： |
Gauss curvature flow Parabolic Monge-Amp`ere equation Interface,Regularity |
Classification： |
53E40, 35K96, 35R35, 35B65 |
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