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math.AP2013
A unified framework for parabolic equations with mixed boundary conditions and diffusion on interfaces
Karoline Disser, Martin Meyries, Joachim Rehberg
In this paper we consider scalar parabolic equations in a general non-smooth setting with emphasis on mixed interface and boundary conditions. In particular, we allow for dynamics…
math.AP2013★ 3 cited
Elliptic and parabolic reguarity for second order divergence operators with mixed boundary conditions
Robert Haller-Dintelmann, Alf Jonsson, Dorothee Knees +1
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, e…