GRADIENT ESTIMATES FOR MEAN CURVATURE FLOW WITH NEUMANN BOUNDARY CONDITIONS

• Mizuno Masashi

• Takasao Keisuke

Abstract

We study the mean curvature ow of graphs both with Neumann boundary conditions and transport terms. We derive boundary gradient estimates for the mean curvature ow. As an application, the existence of the mean curvature ow of graphs is presented. A key argument is a boundary monotonicity formula of a Huisken type derived using re ected backward heat kernels. Furthermore, we provide regularity conditions for the transport terms.

Journal

• Hokkaido University Preprint Series in Mathematics

  Hokkaido University Preprint Series in Mathematics 1083 1-17, 2015-12-15

  Department of Mathematics, Hokkaido University

Keywords

• 410

Details

• CRID: 1390290699772199296
• NII Article ID: 120006459772
• DOI: 10.14943/84227
• HANDLE: 2115/69887
• Text Lang: en
• Data Source:
  • JaLC
  • IRDB
  • CiNii Articles
• Abstract License Flag: Allowed