We prove some properties of the minimal barriers in the sense of De Giorgi for the driven mean curvature flow in codimension one. We compare the resulting evolution with an abstract evolution, and in particular with the evolution defined with the methods of Evans-Spruck, Chen-Giga-Goto, and Giga-Goto-Ishii-Sato.
Paolini, M., Bellettini, G., Some results on minimal barriers in the sense of De Giorgi applied to driven motion by mean curvature, <<RENDICONTI DELL'ACCADEMIA NAZIONALE DELLE SCIENZE DETTA DEI XL. PARTE I. MEMORIE DI MATEMATICA E APPLICAZIONI>>, 1995; (19): 43-67 [http://hdl.handle.net/10807/23468]
Some results on minimal barriers in the sense of De Giorgi applied to driven motion by mean curvature
Paolini, Maurizio;Bellettini, Giovanni
1995
Abstract
We prove some properties of the minimal barriers in the sense of De Giorgi for the driven mean curvature flow in codimension one. We compare the resulting evolution with an abstract evolution, and in particular with the evolution defined with the methods of Evans-Spruck, Chen-Giga-Goto, and Giga-Goto-Ishii-Sato.
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