Titlebook: Lecture Notes on Mean Curvature Flow: Barriers and Singular Perturbations; Giovanni Bellettini Textbook 2013 Edizioni della Normale 2013 f

不知疲倦

Conflagration

Offensive

Signed distance from a smooth boundary,In this chapter we collect some of the main properties of the distance function from a smooth boundary. We refer the reader to [142, 147, 115, 15, 273, 116, 74, 204, 18] for a wider discussion on this subject.

不要严酷

First variations,In this chapter we compute the first variation of some integral functionals. The result of these computations shows, in particular, the connection between mean curvature flow and the first variation of area.

反叛者

无礼回复

Inclusion principle,In this chapter we prove the inclusion principle between two smooth compact mean curvature flows. This principle is one of the most useful tools in the analysis of mean curvature flow and indeed, as we shall see, it has a lot of consequences

nocturia

大约冬季

Inner and outer regularizations,The examples in Chapter 9 show that, for a general initial set ., describing the minimal barrier . can be difficult. Therefore it can be convenient to “regularize” the concept of minimal barrier, by considering inner and outer approximations of .. This is the aim of this chapter.

驾驶

Slit-Lamp