Short Time Uniqueness Results for Solutions of Nonlocal and Non-monotone Geometric Equations

Details Short Time Uniqueness Results for Solutions of Nonlocal and Non-monotone Geometric Equations Short Time Uniqueness Results for Solutions of Nonlocal and Non-monotone Geometric Equations

2010-05-31

arxiv.org/abs/1005.5597v1

Mathematics

Analysis of PDEs

Scientific paper

We describe a method to show short time uniqueness results for viscosity solutions of general nonlocal and non-monotone second-order geometric equations arising in front propagation problems. Our method is based on some lower gradient bounds for the solution. These estimates are crucial to obtain regularity properties of the front, which allow to deal with nonlocal terms in the equations. Applications to short time uniqueness results for the initial value problems for dislocation type equations, asymptotic equations of a FitzHugh-Nagumo type system and equations depending on the Lebesgue measure of the fronts are presented.

Affiliated with

Also associated with

No associations

Rating

Short Time Uniqueness Results for Solutions of Nonlocal and Non-monotone Geometric Equations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Short Time Uniqueness Results for Solutions of Nonlocal and Non-monotone Geometric Equations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Short Time Uniqueness Results for Solutions of Nonlocal and Non-monotone Geometric Equations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-627499