Entropy and differential Harnack type formulas for evolving domains

DOI10.1007/s00526-013-0642-4zbMath1298.53061OpenAlexW1982235088MaRDI QIDQ2248856

Klaus Ecker

Publication date: 27 June 2014

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

Full work available at URL: https://doi.org/10.1007/s00526-013-0642-4

zbMATH Keywords

mean curvature flowevolving domainsassociated entropydifferential Harnack type formulas

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Cites Work

• Unnamed Item
• Flow by mean curvature of convex surfaces into spheres
• A formula relating entropy monotonicity to Harnack inequalities
• On the parabolic kernel of the Schrödinger operator
• A matrix Harnack estimate for the heat equation
• The entropy formula for linar heat equation
• Harnack estimate for the mean curvature flow
• Logarithmic Sobolev Inequalities