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

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

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

Analysis of PDEs 2013-10-15 v1

Authors: Robert Haller-Dintelmann , Alf Jonsson , Dorothee Knees , Joachim Rehberg

Abstract

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.

Keywords

elliptic regularity parabolic regularity divergence operators mixed boundary conditions non-Lipschitz domains Sneiberg's isomorphism theorem function space interpolation

Cite

@article{arxiv.1310.3679,
  title  = {Elliptic and parabolic reguarity for second order divergence operators with mixed boundary conditions},
  author = {Robert Haller-Dintelmann and Alf Jonsson and Dorothee Knees and Joachim Rehberg},
  journal= {arXiv preprint arXiv:1310.3679},
  year   = {2013}
}

Comments

24 pages, 2 figures

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