Displaying similar documents to “On the approximation of front propagation problems with nonlocal terms”

On the convergence rate of approximation schemes for Hamilton-Jacobi-Bellman equations

Guy Barles, Espen Robstad Jakobsen (2002)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

Similarity:

Using systematically a tricky idea of N.V. Krylov, we obtain general results on the rate of convergence of a certain class of monotone approximation schemes for stationary Hamilton-Jacobi-Bellman equations with variable coefficients. This result applies in particular to control schemes based on the dynamic programming principle and to finite difference schemes despite, here, we are not able to treat the most general case. General results have been obtained earlier by Krylov for finite...

Minimizing movements for dislocation dynamics with a mean curvature term

Nicolas Forcadel, Aurélien Monteillet (2009)

ESAIM: Control, Optimisation and Calculus of Variations

Similarity:

We prove existence of minimizing movements for the dislocation dynamics evolution law of a propagating front, in which the normal velocity of the front is the sum of a non-local term and a mean curvature term. We prove that any such minimizing movement is a weak solution of this evolution law, in a sense related to viscosity solutions of the corresponding level-set equation. We also prove the consistency of this approach, by showing that any minimizing movement coincides with the smooth...

On an oblique derivative problem involving an indefinite weight

M. Faierman (1994)

Archivum Mathematicum

Similarity:

In this paper we derive results concerning the angular distrubition of the eigenvalues and the completeness of the principal vectors in certain function spaces for an oblique derivative problem involving an indefinite weight function for a second order elliptic operator defined in a bounded region.