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On the second boundary value problem for a class of fully nonlinear flows II

This article is a continuation of an earlier work (Huang and Ye in Int Math Res Not, 2017 . https://doi.org/10.1093/imrn/rnx278 ), where the long time existence and convergence for some special cases of parabolic type special Lagrangian equations were given. The long time existence and convergence o...

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Bibliographic Details
Published in:Archiv der Mathematik 2018-10, Vol.111 (4), p.407-419
Main Authors: Chen, Juanjuan, Huang, Rongli, Ye, Yunhua
Format: Article
Language:English
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Summary:This article is a continuation of an earlier work (Huang and Ye in Int Math Res Not, 2017 . https://doi.org/10.1093/imrn/rnx278 ), where the long time existence and convergence for some special cases of parabolic type special Lagrangian equations were given. The long time existence and convergence of the flow are obtained for all cases in this article. In particular, we can prescribe the second boundary value problems for a family of special Lagrangian graphs.
ISSN:0003-889X
1420-8938
DOI:10.1007/s00013-018-1197-6