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Elliptic and parabolic regularity for second‐ order divergence operators with mixed boundary conditions
Author(s) -
HallerDintelmann Robert,
Jonsson Alf,
Knees Dorothee,
Rehberg Joachim
Publication year - 2015
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.3484
Subject(s) - mathematics , lipschitz domain , lipschitz continuity , divergence (linguistics) , isomorphism (crystallography) , elliptic operator , order (exchange) , mathematical analysis , boundary (topology) , isomorphism theorem , parabolic partial differential equation , interpolation (computer graphics) , boundary value problem , pure mathematics , function (biology) , partial differential equation , animation , linguistics , philosophy , chemistry , computer graphics (images) , finance , evolutionary biology , computer science , crystal structure , economics , biology , crystallography
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.