# Uniform regularity and convergence of phase-fields for Willmore’s energy

@article{Dondl2015UniformRA,
title={Uniform regularity and convergence of phase-fields for Willmore’s energy},
author={P. Dondl and Stephan Wojtowytsch},
journal={Calculus of Variations and Partial Differential Equations},
year={2015},
volume={56},
pages={1-22}
}
• Published 2015
• Mathematics
• Calculus of Variations and Partial Differential Equations
We investigate the convergence of phase fields for the Willmore problem away from the support of a limiting measure $$\mu$$μ. For this purpose, we introduce a suitable notion of essentially uniform convergence. This mode of convergence is a natural generalisation of uniform convergence that precisely describes the convergence of phase fields in three dimensions. More in detail, we show that, in three space dimensions, points close to which the phase fields stay bounded away from a pure phase… Expand
4 Citations
On the boundary regularity of phase-fields for Willmore's energy
• Mathematics
• Proceedings of the Royal Society of Edinburgh: Section A Mathematics
• 2019

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On the boundary regularity of phase-fields for Willmore's energy
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