Density estimates for phase transitions with a trace

Details Density estimates for phase transitions with a trace Density estimates for phase transitions with a trace

2010-11-30

arxiv.org/abs/1011.6617v1

Mathematics

Analysis of PDEs

Scientific paper

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.

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