Journal article
Elliptic and parabolic regularity for second-order divergence operators with mixed boundary conditions
Publication Details
Authors: | Haller-Dintelmann, R.; Jonsson, A.; Knees, D.; Rehberg, J. |
Publisher: | Wiley |
Place: | Chichester |
Publication year: | 2016 |
Journal: | Mathematical Methods in the Applied Sciences |
Pages range : | 5007-5026 |
Volume number: | 39 |
Issue number: | 17 |
ISSN: | 0170-4214 |
DOI-Link der Erstveröffentlichung: |
Abstract
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 Šneı̆berg's isomorphism theorem.