Journal
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
Volume 370, Issue 4, Pages 2785-2823Publisher
AMER MATHEMATICAL SOC
DOI: 10.1090/tran/7151
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Funding
- Center for Nonlinear Analysis (NSF PIRE Grant) [OISE-0967140]
- European Research Council [290888]
- National Science Foundation [DMS-1411646, DMS-1412095]
- Division Of Mathematical Sciences
- Direct For Mathematical & Physical Scien [1411646] Funding Source: National Science Foundation
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In this paper the study of a nonlocal second order Cahn-Hilliard-type singularly perturbed family of functions is undertaken. The kernels considered include those leading to Gagliardo fractional seminorms for gradients. Using Gamma convergence the integral representation of the limit energy is characterized leading to an anisotropic surface energy on interfaces separating different phases.
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