Neumann and second boundary value problems for hessian and Gauß curvature flows
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Oliver C Schnürer, Knut Smoczyk (2003)
Annales de l'I.H.P. Analyse non linéaire
Udrişte, Constantin (2009)
Balkan Journal of Geometry and its Applications (BJGA)
Dario Benedetto, Emanuele Caglioti, Roberto Libero (1999)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
Dario Benedetto, Emanuele Caglioti, Roberto Libero (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
We consider the evolution of a set according to the Huygens principle: i.e. the domain at time t>0, Λt, is the set of the points whose distance from Λ is lower than t. We give some general results for this evolution, with particular care given to the behavior of the perimeter of the evoluted set as a function of time. We define a class of sets (non-trapping sets) for which the perimeter is a continuous function of t, and we give an algorithm to approximate the evolution. Finally we restrict...
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