Maximal Lp-Lq regularity for the Quasi-Steady Elliptic Problems
Maximal Lp-Lq regularity for the Quasi-Steady Elliptic Problems
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准稳态椭圆问题的最大Lp-Lq正则性
DOI：
10.1007/s00028-020-00638-2
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发表时间：
2020
影响因子：
1.4
通讯作者：
Naoto Kajiwara
中科院分区：
文献类型：
--
作者：
Ken Furukawa;Naoto Kajiwara
本文考虑向量值拟定常线性椭圆问题的极大正则性。方程组是区域上的椭圆型方程和边界上的发展方程。我们证明了这些问题的极大正则性，并举例说明我们的结果是适用的。Lopatinskii-Shapiro条件和渐近Lopatinski-Shapiro条件是得到解算子有界性的重要条件。
In this paper, we consider maximal regularity for the vector-valued quasi-steady linear elliptic problems. The equations are the elliptic equation in the domain and the evolution equations on its boundary. We prove the maximal–regularity for these problems and give examples that our results are applicable. The Lopatinskii–Shapiro and theasymptoticLopatinskii–Shapiro conditions are important to get boundedness of solution operators.