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

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...

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Bibliographic Details
Published in:Mathematical methods in the applied sciences 2016-11, Vol.39 (17), p.5007-5026
Main Authors: Haller-Dintelmann, Robert, Jonsson, Alf, Knees, Dorothee, Rehberg, Joachim
Format: Article
Language:English
Subjects:
analytic semigroups
Boundary conditions
Divergence
elliptic regularity for equations and systems
Function space
Interpolation
Isomorphism
Mathematical analysis
mixed boundary conditions
Operators (mathematics)
Regularity
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Summary: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.
ISSN:0170-4214
1099-1476
1099-1476
DOI:10.1002/mma.3484