Hessian estimate for heat equation

DOI10.1007/S12220-017-9823-2zbMath1388.58019OpenAlexW2593525135MaRDI QIDQ1742945

Chiung-Jue Anna Sung

Publication date: 12 April 2018

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12220-017-9823-2

zbMATH Keywords

heat equationHessian estimategradient estimate for forms

Mathematics Subject Classification ID

Heat and other parabolic equation methods for PDEs on manifolds (58J35) Second-order parabolic systems (35K40)

Related Items (3)

Local Hessian estimates of solutions to nonlinear parabolic equations along Ricci flow ⋮ Global Hessian estimates for an Allen-Cahn equation on Riemannian manifolds ⋮ Gradient estimate for the forward conjugate heat equation of forms under the Ricci flow

Cites Work

• Unnamed Item
• Uniformly elliptic operators on Riemannian manifolds
• On the parabolic kernel of the Schrödinger operator
• A matrix Harnack estimate for the heat equation
• \(L^ p\)-pinching and the geometry of compact Riemannian manifolds
• Gradient estimate for eigenforms of Hodge Laplacian
• Geometric Analysis

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