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Parabolic equations with mixed boundary conditions, degenerate diffusion and diffusion on interfaces
Author(s) -
Disser Karoline
Publication year - 2014
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201410477
Subject(s) - degenerate energy levels , scalar (mathematics) , diffusion , boundary value problem , mathematical analysis , mathematics , boundary (topology) , parabolic partial differential equation , physics , partial differential equation , thermodynamics , geometry , quantum mechanics
We provide a unified functional analytic framework and prove a well‐posedness result for linear scalar parabolic problems in a non‐smooth setting, including mixed boundary conditions and additional dynamics and possible diffusion on the boundary and on an enclosed interface. (© 2014 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)