Elliptic and parabolic regularity 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 Šneı̆berg's isomorphism theorem. Copyright © 2015 John Wiley & Sons, Ltd.