Elliptic and parabolic reguarity for second order divergence operators with mixed boundary conditions

Alf Jonsson; Dorothee Knees; Joachim Rehberg; Robert Haller-Dintelmann

arxiv: 1310.3679 · v1 · pith:RSXBLPAFnew · submitted 2013-10-14 · 🧮 math.AP

Elliptic and parabolic reguarity for second order divergence operators with mixed boundary conditions

Robert Haller-Dintelmann , Alf Jonsson , Dorothee Knees , Joachim Rehberg This is my paper

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keywords boundaryconditionsellipticmixedorderparabolicseconddeduced

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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.

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Elliptic and parabolic reguarity for second order divergence operators with mixed boundary conditions

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