Showing a limited preview of this publication:
Abstract
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
Keywords: Bulk-interface interaction; quasilinear parabolic equations; mixed boundary conditions; non-smooth domains
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
