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Global well-posedness of solutions for the epitaxy thin film growth model
Nonlinear Analysis: Modelling and Control ( IF 2 ) Pub Date : 2021-07-01 , DOI: 10.15388/namc.2021.26.23936 Ning Duan , Fengnan Liu , Xiaopeng Zhao
中文翻译:
外延薄膜生长模型解的全局适定性
更新日期:2021-07-01
Nonlinear Analysis: Modelling and Control ( IF 2 ) Pub Date : 2021-07-01 , DOI: 10.15388/namc.2021.26.23936 Ning Duan , Fengnan Liu , Xiaopeng Zhao
In this paper, we consider the global well-posedness of solutions for the initial-boundary value problems of the epitaxy growth model. We first construct the local smooth solution, then by combining some a priori estimates, continuity argument, the local smooth solutions are extended step by step to all t > 0, provided that the initial datums sufficiently small and the smooth nonlinear functions satisfy certain local growth conditions.
中文翻译:
外延薄膜生长模型解的全局适定性
在本文中,我们考虑了外延生长模型初始边界值问题解的全局适定性。我们首先构造局部平滑解,然后通过结合一些先验估计、连续性参数,将局部平滑解逐步扩展到所有t > 0,前提是初始数据足够小并且平滑非线性函数满足一定的局部增长使适应。