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arxiv: 1011.6617 · v1 · pith:QZETMK4Rnew · submitted 2010-11-30 · 🧮 math.AP

Density estimates for phase transitions with a trace

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keywords densityestimatesmodelphasetraceaddingallen-cahncase
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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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