Interpolation for function spaces related to mixed boundary value problems

By J. Griepentrog, K. Groeger, H. Kaiser, Joachim Rehberg. 2002

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Integrability of Displacement and Stresses in Linear and Nonlinear Elasticity with Mixed Boundary Conditions (2011, background): “According to [6], W D (Ω) is a scale of complex interpolation spaces.”
Elliptic and parabolic regularity for second‐ order divergence operators with mixed boundary conditions (2013, methodology): “mooth constellations, were re-established. This concerns elliptic regularity (in particular Holder continuity) [26], [22], [25], [28], maximal parabolic regularity [23], [29], [31] and interpolation [24]. In this paper, we impose more general conditions on the domain and on the Dirichlet boundary pa”
Hölder Continuity and Optimal Control for Nonsmooth Elliptic Problems (2009, background): “frame for establishing interpolation results for function spaces which include a trace zero condition on part of the boundary, see [28].”
Maximal parabolic regularity for divergence operators including mixed boundary conditions (2008, background): “Note that the additional property ’volume-preserving’ also has been required in several contexts (see [48] and [55]).”