Abstract
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.
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The authors would like to express their sincere gratitude to the reviewers for their useful suggestions and comments, which helped to improve the article.
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The second author is supported by National Science Foundation of China (No. 11771103) and Guangxi Natural Science Foundation (No. 2017GXNSFFA198013). The third author is supported by Guangdong Natural Science Foundation (No. 2016A030307008).
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Chen, J., Huang, R. & Ye, Y. On the second boundary value problem for a class of fully nonlinear flows II . Arch. Math. 111, 407–419 (2018). https://doi.org/10.1007/s00013-018-1197-6
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DOI: https://doi.org/10.1007/s00013-018-1197-6