Local monotonicity and mean value formulas for evolving Riemannian manifolds
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Publication:3524791
DOI10.1515/CRELLE.2008.019zbMath1170.35050arXivmath/0608470OpenAlexW2034882580WikidataQ115236903 ScholiaQ115236903MaRDI QIDQ3524791
Klaus Ecker, Dan Knopf, Lei Ni, Peter Miles Topping
Publication date: 15 September 2008
Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0608470
Nonlinear parabolic equations (35K55) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Heat and other parabolic equation methods for PDEs on manifolds (58J35)
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Cites Work
- Mean curvature evolution of entire graphs
- On the parabolic kernel of the Schrödinger operator
- Mean value properties of solutions to parabolic equations with variable coefficients
- Asymptotic behaviour of fundamental solutions and potential theory of parabolic operators with variable coefficients
- A pinching estimate for solutions of the linearized Ricci flow system on 3-manifolds
- Wiener's criterion for the heat equation
- Estimates on exponential sums related to the Diffie-Hellman distributions
- Wiener's Criterion for Parabolic Equations with Variable Coefficients and Its Consequences
- A lower bound for the heat kernel
- Harmonic functions on complete riemannian manifolds
- 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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