Elliptic and parabolic reguarity for second order divergence operators with mixed boundary conditions
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 Sneiberg's isomorphism theorem.
- Publication:
-
arXiv e-prints
- Pub Date:
- October 2013
- DOI:
- 10.48550/arXiv.1310.3679
- arXiv:
- arXiv:1310.3679
- Bibcode:
- 2013arXiv1310.3679H
- Keywords:
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- Mathematics - Analysis of PDEs;
- 35B65;
- 35J47;
- 35J57;
- 74B05
- E-Print:
- 24 pages, 2 figures