Density estimates for phase transitions with a trace

Yannick Sire; Enrico Valdinoci

doi:10.4171/IFB/277

Density estimates for phase transitions with a trace

Yannick Sire, Enrico Valdinoci

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

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.

Original language	English
Pages (from-to)	153-165
Number of pages	13
Journal	Interfaces and Free Boundaries
Volume	14
Issue number	2
DOIs	https://doi.org/10.4171/IFB/277
Publication status	Published - 27 Aug 2012
Externally published	Yes

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title = "Density estimates for phase transitions with a trace",

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.",

keywords = "Measure theoretic estimates of the level lets of phase transition layers, Singular and degenerate boundary reaction equations",

author = "Yannick Sire and Enrico Valdinoci",

year = "2012",

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AU - Valdinoci, Enrico

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AB - 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.

KW - Measure theoretic estimates of the level lets of phase transition layers

KW - Singular and degenerate boundary reaction equations

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M3 - Article

AN - SCOPUS:84865223090

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JO - Interfaces and Free Boundaries

JF - Interfaces and Free Boundaries

SN - 1463-9963

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Density estimates for phase transitions with a trace

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