Bridging Local and Nonlocal Models: Convergence and Regularity
Bridging Local and Nonlocal Models: Convergence and Regularity
复制标题
连接局部和非局部模型：收敛性和规律性
DOI：
10.1007/978-3-319-22977-5_32-1
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发表时间：
2019
期刊：
影响因子：
--
通讯作者：
P. Radu
中科院分区：
文献类型：
--
作者：
M. Foss;P. Radu
随着非局部模型在应用中的日益广泛，我们将重点讨论它们与经典模型的联系，以及影响它们实现的一些理论方面。在此背景下，我们综述了作者的最新进展，并证明了在非局部框架下关于非线性系统解的正则性的一些新结果。特别地，我们着重于半线性问题和高阶问题及其在板变形理论中的应用。
As nonlocal models become more widespread in applications, we focus on their connections with their classical counterparts, and also on some theoretical aspects which impact their implementation. In this context we survey recent developments by the authors and prove some new results on regularity of solutions to nonlinear systems in the nonlocal framework. In particular, we focus on semilinear problems and also on higher-order problems with applications in the theory of plate deformations.
非局部能量泛函极小值的存在性和正则性
影响因子：
1.4
作者：
Foss, Mikil D.;Radu, Petronela;Wright, Cory
通讯作者：
Wright, Cory