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

DOI10.1515/anly-2014-1308zbMath1327.35198OpenAlexW2266462972MaRDI QIDQ889931

Karoline Disser

Publication date: 9 November 2015

Published in: Analysis (München) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/anly-2014-1308

zbMATH Keywords

quasilinear parabolic equationsmixed boundary conditionsnon-smooth domainsbulk-interface interaction

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Initial-boundary value problems for second-order parabolic equations (35K20) Quasilinear parabolic equations (35K59)

Related Items (4)

Global existence, uniqueness and stability for nonlinear dissipative bulk-interface interaction systems ⋮ Well-posedness of nonlinear two-phase flow model with solute transport ⋮ Global existence and uniqueness for a volume-surface reaction-nonlinear-diffusion system ⋮ Interpolation theory for Sobolev functions with partially vanishing trace on irregular open sets

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