Elliptic and parabolic regularity for second-order divergence operators with mixed boundary conditions

被引：24
|
作者：
Haller-Dintelmann, Robert [1 ]
Jonsson, Alf [2 ]
Knees, Dorothee [3 ]
Rehberg, Joachim [4 ]
机构：
[1] Tech Univ Darmstadt, Fachbereich Math, Schlossgartenstr 7, D-64298 Darmstadt, Germany
[2] Umea Univ, SE-90187 Umea, Sweden
[3] Univ Kassel, Inst Math, Heinrich Plett Str 40, D-34109 Kassel, Germany
[4] Weierstrass Inst Appl Anal & Stochast, Mohrenstr 39, D-10117 Berlin, Germany
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2016年 / 39卷 / 17期
关键词：
mixed boundary conditions; interpolation; elliptic regularity for equations and systems; analytic semigroups; SOBOLEV; SYSTEMS; DOMAINS;
D O I：
10.1002/mma.3484
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study second-order equations and systems on non-Lipschitz domains including mixed boundary conditions. The key result is interpolation for suitable function spaces. From this, elliptic and parabolic regularity results are deduced by means of Sne. iberg's isomorphism theorem. Copyright (C) 2015 John Wiley & Sons, Ltd.
引用
收藏
页码：5007 / 5026
页数：20
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