A Gradient Bound for Free Boundary Graphs
Name
Jerison_A Gradient (arxiv).pdf
Size
217.46 KB
Format
Adobe PDF
Checksum (MD5)
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Author(s)
De Silva, Daniela
Jerison, David S.
Date Issued
December 2010
Journal
Communications on Pure and Applied Mathematics
Publisher
Wiley Blackwell (John Wiley & Sons)
Citation
De Silva, Daniela, and David Jerison. “A Gradient Bound for Free Boundary Graphs.” Communications on Pure and Applied Mathematics 64.4 (2011): 538–555. Web. 26 June 2012. © 2010 Wiley Periodicals, Inc.
Version
Author's final manuscript
Abstract
We prove an analogue for a one-phase free boundary problem of the classical gradient bound for solutions to the minimal surface equation. It follows, in particular, that every energy-minimizing free boundary that is a graph is also smooth. The method we use also leads to a new proof of the classical minimal surface gradient bound.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Creative Commons Attribution-Noncommercial-Share Alike 3.0
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1002/cpa.20354
