If you are experiencing problems downloading PDF or HTML fulltext, our helpdesk recommend clearing your browser cache and trying again. If you need help in clearing your cache, please click here . Still need help? Email help@ingentaconnect.com

Minimal Barriers for Geometric Evolutions

The full text article is not available for purchase.

The publisher only permits individual articles to be downloaded by subscribers.

Abstract:

We study some properties of De Giorgi's minimal barriers and local minimal barriers for geometric flows of subsets of R n . Concerning evolutions of the form ∂ u /∂ t + F ([inverted triangle] u , [inverted triangle] 2 u )=0, we prove a representation result for the minimal barrier ℳ ( E , ℱ F ) when F is not degenerate elliptic; namely, we show that ℳ ( E , ℱ F )= ℳ ( E , ℱ F + ), where F + is the smallest degenerate elliptic function above F . We also characterize the disjoint sets property and the joint sets property in terms of the function F .

Document Type: Research Article

Affiliations: 1: Dipartimento di Matematica Applicata "U. Dini,", Universita di Pisa, Via Bonanno 25 bis, Pisa, 56126, Italy 2: Scuola Normale Superiore di Pisa, Piazza dei Cavalieri 7, Pisa, 56100, Italy

Publication date: September 1, 1997

Related content

Tools

Favourites

Share Content

Access Key

Free Content
Free content
New Content
New content
Open Access Content
Open access content
Subscribed Content
Subscribed content
Free Trial Content
Free trial content
Cookie Policy
X
Cookie Policy
ingentaconnect website makes use of cookies so as to keep track of data that you have filled in. I am Happy with this Find out more