Stability of mean convex cones under mean curvature flow - Mathematics > Differential GeometryReport as inadecuate




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Abstract: We consider graphical solutions to mean curvature flow and obtain a stabilityresult for homothetically expanding solutions coming out of cones of positivemean curvature: If another solution is initially close to the cone at infinity,then the difference to the homothetically expanding solution becomes small forlarge times. The proof involves the construction of appropriate barriers.



Author: Julie Clutterbuck, Oliver C. Schnürer

Source: https://arxiv.org/







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