Displaying similar documents to “Teoremi di confronto tra diverse nozioni di movimento secondo la curvatura media”

Formazione di singolarità nel moto per curvatura media

Carlo Sinestrari (2001)

Bollettino dell'Unione Matematica Italiana

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We study the formation of singularities for hypersurfaces evolving by mean curvature. After recalling the basic properties of the flow and the classical results about curves and convex surfaces, we give account of some recent developments of the theory for the case of surfaces with positive mean curvature. We show that for such surfaces we can obtain a–priori estimates on the principal curvatures which enable us to classify the singular profiles by the use of rescaling techniques. ...

Soluzioni di viscosità

Italo Capuzzo Dolcetta (2001)

Bollettino dell'Unione Matematica Italiana

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This is the expanded text of a lecture about viscosity solutions of degenerate elliptic equations delivered at the XVI Congresso UMI. The aim of the paper is to review some fundamental results of the theory as developed in the last twenty years and to point out some of its recent developments and applications.

Soluzioni di tipo barriera

Matteo Novaga (2001)

Bollettino dell'Unione Matematica Italiana

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We present the general theory of barrier solutions in the sense of De Giorgi, and we consider different applications to ordinary and partial differential equations. We discuss, in particular, the case of second order geometric evolutions, where the barrier solutions turn out to be equivalent to the well-known viscosity solutions.