Stability of solutions of nonlinear parabolic equations for harmonic mean curvature flows

DOI10.1016/S0362-546X(01)00832-XzbMath1026.35048OpenAlexW2166986906MaRDI QIDQ697536

Masayoshi Tsutsumi, Koichi Anada

Publication date: 17 September 2002

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(01)00832-x

zbMATH Keywords

bifurcationself similar solutions

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Stability in context of PDEs (35B35) Degenerate parabolic equations (35K65)

Related Items (1)

A representation formula for the inverse harmonic mean curvature flow

Cites Work

• On the formation of singularities in the curve shortening flow
• The normalized curve shortening flow and homothetic solutions
• The heat equation shrinking convex plane curves
• Contraction of convex hypersurfaces in Euclidean space
• Harnack inequalities for evolving hypersurfaces
• Bifurcation from simple eigenvalues
• Contraction of surfaces by harmonic mean curvature flows and nonuniqueness of their self similar solutions

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