论文信息 - Non-parametric mean curvature evolution with boundary conditions

Non-parametric mean curvature evolution with boundary conditions

Soit Ω un domaine borne de R n , n≥2 de frontiere lisse ∂Ω et soit A l'operateur de surface minimale donne par A=−D i (a i (p)) a i =p i (1+|p| 2 ) −1/2 . On considere des surfaces dont la vitesse en direction de leur normale unite est egale a la courbure moyenne. On etudie l'equation d'evolution qui en resulte: u˙+(1+|Du| 2 ) 1'2 •Au=0 dans Ω+[0,T]

Gerhard Huisken | G. Huisken

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