A singular perturbation problem with integral curvature bound

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概要

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• 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.

• 広島大学の論文

著者

• 利根川 吉広

  北海道大学理学院

• 長瀬 優子

  Department Of Mathematics Hokkaido University

• Tonegawa Yoshihiro

  Department Of Mathematics Hokkaido University

• Nagase Yuko

  Department of Mathematics Hokkaido University

• Tonegawa Yoshihiro

  Department Of Mathematics Faculty Of Science Hokkaido University

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