WIAS Preprint No. 2314, (2016)

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


  • Disser, Karoline

2010 Mathematics Subject Classification

  • 35K20 35K59 47F05


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


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.

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