We give a new proof of short time existence for the classical motion by mean curvature of a smooth hypersurface. Our method consists in studying a fully nonlinear uniformly parabolic equation satisfied by the signed distance function to the surface
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Department of Mathematics, Yangzhou University, Yangzhou
Department of Mathematics, Shanghai University, ShanghaiDepartment of Mathematics, Yangzhou University, Yangzhou
Yong-ai Z.
Zu-han L.
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Department of Mathematics, Yangzhou University, YangzhouDepartment of Mathematics, Yangzhou University, Yangzhou
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Univ Napoli Federico II, Dipartimento Matemat & Applicaz R Caccioppoli, Via Cintia, I-80126 Naples, ItalyUniv Napoli Federico II, Dipartimento Matemat & Applicaz R Caccioppoli, Via Cintia, I-80126 Naples, Italy
Della Pietra, Francesco
Gavitone, Nunzia
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Univ Napoli Federico II, Dipartimento Matemat & Applicaz R Caccioppoli, Via Cintia, I-80126 Naples, ItalyUniv Napoli Federico II, Dipartimento Matemat & Applicaz R Caccioppoli, Via Cintia, I-80126 Naples, Italy
Gavitone, Nunzia
Xia, Chao
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Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R ChinaUniv Napoli Federico II, Dipartimento Matemat & Applicaz R Caccioppoli, Via Cintia, I-80126 Naples, Italy