Journal
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
Volume 52, Issue 1, Pages 79-115Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/S0362-546X(02)00098-6
Keywords
front propagation; approximation scheme; threshold dynamics; nonlocal parabolic equations; viscosity solutions
Categories
Ask authors/readers for more resources
The convergence of schemes for propagation of fronts in a bounded domain moving with normal velocities is studied. The velocities considered depend on the principal curvatures, the normal direction, the location, as well as some nonlocal properties of the front. Most of the schemes considered are in essence threshold dynamics type approximation schemes, modified for Neumann boundary conditions and nonlocal terms. The existence and uniqueness of appropriately defined viscosity solutions of the level-set equations describing the nonlocal motions is also shown. (C) 2002 Elsevier Science Ltd. All rights reserved.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available