Density estimates for phase transitions with a trace
Analysis of PDEs
2010-12-01 v1
Abstract
We consider a functional obtained by adding a trace term to the Allen-Cahn phase segregation model and we prove some density estimates for the level sets of the interfaces. We treat in a unified way also the cases of possible degeneracy and singularity of the ellipticity of the model and the quasiminimal case.
Cite
@article{arxiv.1011.6617,
title = {Density estimates for phase transitions with a trace},
author = {Yannick Sire and Enrico Valdinoci},
journal= {arXiv preprint arXiv:1011.6617},
year = {2010}
}