Local monotonicity formulas for some nonlinear diffusion equations

DOI10.1007/s00526-004-0290-9zbMath1119.35026OpenAlexW2064137446MaRDI QIDQ1776570

Klaus Ecker

Publication date: 12 May 2005

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

Full work available at URL: https://doi.org/10.1007/s00526-004-0290-9

zbMATH Keywords

mean curvature flowharmonic map heat flow

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Heat and other parabolic equation methods for PDEs on manifolds (58J35)

Related Items (5)

New monotonicity formulae for semi-linear elliptic and parabolic systems ⋮ A quasi-monotonicity formula and partial regularity for borderline solutions to a parabolic equation ⋮ Generic mean curvature flow. I: Generic singularities ⋮ Local regularity for the harmonic map and Yang-Mills heat flows ⋮ Local monotonicity for the Yang-Mills-Higgs flow

Cites Work

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• Asymptotic behavior for singularities of the mean curvature flow
• On the evolution of harmonic maps in higher dimensions
• Existence and partial regularity results for the heat flow for harmonic maps
• Monotonicity formulas for parabolic flows on manifolds
• Wiener's criterion for the heat equation
• Asymptotically self‐similar blow‐up of semilinear heat equations
• A Mean Value Theorem for the Heat Equation
• A Theory of Subtemperatures in Several Variables
• A local monotonicity formula for mean curvature flow

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