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A remark on the compactness for the Cahn–Hilliardfunctional

Published online by Cambridge University Press:  27 March 2014

Giovanni Leoni
Giovanni Leoni*
Affiliation:
Department of Mathematical Sciences, Carnegie Mellon University, Pittsburgh, 15213 PA, USA. giovanni@andrew.cmu.edu
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Abstract

In this note we prove compactness for the Cahn–Hilliard functional without assumingcoercivity of the multi-well potential.

Keywords

Singular perturbationsgamma-convergencecompactness
Type
Research Article
Information
ESAIM: Control, Optimisation and Calculus of Variations , Volume 20 , Issue 2 , April 2014 , pp. 517 - 523
Copyright
© EDP Sciences, SMAI, 2014

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