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Licensed Unlicensed Requires Authentication Published by Oldenbourg Wissenschaftsverlag September 3, 2015

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

  • Karoline Disser EMAIL logo
From the journal Analysis


In this paper, we consider a quasilinear parabolic system of equations describing coupled bulk and interface diffusion, 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.

Funding source: European Research Council

Award Identifier / Grant number: ERC-2010-AdG no. 267802 (Analysis of Multiscale Systems Driven by Functionals)

Received: 2014-12-16
Revised: 2015-5-9
Accepted: 2015-8-14
Published Online: 2015-9-3
Published in Print: 2015-11-1

© 2015 by De Gruyter

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