Abstract
We establish space-only gradient estimates for positive continuous weak solutions to the p-Laplace heat equation on some complete manifolds evolving under the Ricci flow. As applications, we get Harnack inequalities to compare solutions at different points
Published Online: 2013-03-29
Published in Print: 2013-04
© 2013 by Walter de Gruyter GmbH & Co.
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- Masthead
- On the counting of holomorphic discs in toric Fano manifolds
- Secant degree of toric surfaces and delightful planar toric degenerations
- Fractal curvature measures of self-similar sets
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- Solvsolitons associated with graphs
- On the Hessian geometry of a real polynomial hyperbolic near infinity
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- The automorphism group of the generalized Giulietti–Korchmáros function field
Keywords for this article
p-Laplace heat equation;
Ricci flow;
space-only gradient estimate;
Harnack inequality
Articles in the same Issue
- Masthead
- On the counting of holomorphic discs in toric Fano manifolds
- Secant degree of toric surfaces and delightful planar toric degenerations
- Fractal curvature measures of self-similar sets
- On Lipschitz maps and dimension
- Solvsolitons associated with graphs
- On the Hessian geometry of a real polynomial hyperbolic near infinity
- Permutation polynomials and translation planes of even order
- On the derivative cones of polyhedral cones
- The conjugacy classes of finite nonsolvable subgroups in the plane Cremona group
- Gradient estimates for the p-Laplace heat equation under the Ricci flow
- The automorphism group of the generalized Giulietti–Korchmáros function field