The dirichlet-conormal problem with homogeneous and inhomogeneous boundary conditions

The dirichlet-conormal problem with homogeneous and inhomogeneous boundary conditions
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具有齐次和非齐次边界条件的狄利克雷协整问题

DOI:
10.1080/03605302.2020.1845204
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发表时间:
2020
影响因子:
1.9
通讯作者:
Zongyuan Li
Zongyuan Li
中科院分区:
数学2区
文献类型:
--
作者:
Hongjie Dong;Zongyuan Li

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摘要考虑不规则域上的dirichlet -正规混合问题,讨论两类正则性结果:正则性和非切向极大函数估计。假设定义域为reifenberg平面,界面边界为2维的reifenberg平面或局部足够接近m变量的Lipschitz函数,其中对于非切向极大函数估计,我们也要求定义域为Lipschitz。
Abstract We consider the mixed Dirichlet-conormal problem on irregular domains in Two types of regularity results will be discussed: the regularity and a non-tangential maximal function estimate. The domain is assumed to be Reifenberg-flat, and the interfacial boundary is either Reifenberg-flat of co-dimension 2 or is locally sufficiently close to a Lipschitz function of m variables, where For the non-tangential maximal function estimate, we also require the domain to be Lipschitz.
DOI: 10.48550/arxiv.1301.0426
发表时间: 2013
期刊: --
影响因子: --
作者:
Dindoš M
通讯作者: Dindoš M