Advances in Differential Equations
- Adv. Differential Equations
- Volume 5, Number 1-3 (2000), 213-268.
On front propagation problems with nonlocal terms
We investigate the evolution of compact hypersurfaces of $\mathbb R^N$ depending, not only on terms of curvature of the surface, but also on non local terms such as the measure of the set enclosed by the surface. We present some existence and convexity results for such motions, even for evolutions which do not preserve the inclusion of the initial surfaces.
Adv. Differential Equations Volume 5, Number 1-3 (2000), 213-268.
First available in Project Euclid: 27 December 2012
Permanent link to this document
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 53C44: Geometric evolution equations (mean curvature flow, Ricci flow, etc.)
Secondary: 35K55: Nonlinear parabolic equations
Cardaliaguet, Pierre. On front propagation problems with nonlocal terms. Adv. Differential Equations 5 (2000), no. 1-3, 213--268. https://projecteuclid.org/euclid.ade/1356651384.