- journal article metadata
European Mathematical Society Publishing House
2017-11-13 23:40:02
Portugaliae Mathematica
Port. Math.
PM
0032-5155
1662-2758
General
10.4171/PM
http://www.ems-ph.org/doi/10.4171/PM
subscribers
European Mathematical Society Publishing House
Zuerich, Switzerland
© European Mathematical Society (from 2008)
74
2017
2
Approximation rates for regularized level set power mean curvature flow
Heiko
Kröner
Universität Hamburg, Germany
Geometric evolution equation, level set mean curvature flow, regularization, rates of convergence
In [11] the evolution of hypersurfaces in $\mathbb{R}^{n+1}$ with normal speed equal to a power $k > 1$ of the mean curvature is considered and the level set solution $u$ of the flow is obtained as the $C^0$-limit of a sequence $u^{\epsilon}$ of smooth functions solving the regularized level set equations. We prove a rate for this convergence.
Differential geometry
Partial differential equations
Numerical analysis
Computer science
115
126
10.4171/PM/1995
http://www.ems-ph.org/doi/10.4171/PM/1995
11
10
2017