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November 2007 A singular perturbation problem with integral curvature bound
Yuko Nagase, Yoshihiro Tonegawa
Hiroshima Math. J. 37(3): 455-489 (November 2007). DOI: 10.32917/hmj/1200529813

Abstract

We consider a singular perturbation problem of Modica-Mortola functional as the thickness of diffused interface approaches to zero. We assume that sequence of functions have uniform energy and square-integral curvature bounds in two dimension. We show that the limit measure concentrates on one rectifiable set and has square integrable curvature.

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Yuko Nagase. Yoshihiro Tonegawa. "A singular perturbation problem with integral curvature bound." Hiroshima Math. J. 37 (3) 455 - 489, November 2007. https://doi.org/10.32917/hmj/1200529813

Information

Published: November 2007
First available in Project Euclid: 17 January 2008

zbMATH: 1211.35094
MathSciNet: MR2376729
Digital Object Identifier: 10.32917/hmj/1200529813

Subjects:
Primary: 35J60
Secondary: 35B25, 35J20, 80A22

Rights: Copyright © 2007 Hiroshima University, Mathematics Program

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Vol.37 • No. 3 • November 2007
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