On a lower bound for the extinction time of surfaces moved by mean curvature

DOI10.1007/BF01206960zbMath0854.53011OpenAlexW2063202604MaRDI QIDQ1311345

Yoshikazu Giga, Kazuyuki Yama-uchi

Publication date: 13 January 1997

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01206960

zbMATH Keywords

extinction timeevolution by mean curvature

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Degenerate parabolic equations (35K65) Length, area, volume and convex sets (aspects of convex geometry) (52A38)

Related Items

Existence of solutions of the very fast diffusion equation ⋮ On the existence of canonical multi-phase Brakke flows ⋮ Isoperimetric properties of the mean curvature flow ⋮ Behaviour of solutions of a singular diffusion equation near the extinction time. ⋮ Existence of solutions of the very fast diffusion equation in bounded and unbounded domain ⋮ Motion of sets by curvature and derivative of capacity potential ⋮ Large time behaviour of solutions of a singular diffusion equation in \(\mathbb R^n\) ⋮ Asymptotic profile of solutions of a singular diffusion equation as \(t\to\infty\) ⋮ Existence of singular solutions of a degenerate equation in \(\mathbb R^2\)

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