WIAS Preprint No. 2314, (2016)

Well-posedness for coupled bulk-interface diffusion with mixed boundary conditions



Authors

  • Disser, Karoline
    ORCID: 0000-0002-0222-3262

2010 Mathematics Subject Classification

  • 35K20 35K59 47F05

Keywords

  • Bulk-interface interaction, quasilinear parabolic equation, mixed boundary conditions, non-smooth domains

DOI

10.20347/WIAS.PREPRINT.2314

Abstract

In this paper, we consider a quasilinear parabolic system of equations describing coupled bulk and interface di usion, including mixed boundary conditions. The setting naturally includes non-smooth domains Ω. We show local well-posedness using maximal Ls-regularity in dual Sobolev spaces of type W-1,q(Ω) for the associated abstract Cauchy problem.

Appeared in

  • Analysis (Berlin), 35 (2015) pp. 309--317.

Download Documents