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Maximal \(L_{p}\)-regularity for a linear three-phase problem of parabolic-elliptic type

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Publication:423406
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DOI10.1007/s00028-009-0050-6zbMath1239.35101OpenAlexW2048742654MaRDI QIDQ423406

Matthias Kotschote

Publication date: 2 June 2012

Published in: Journal of Evolution Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00028-009-0050-6


zbMATH Keywords

inhomogeneous boundary conditionsmaximal regularityoperator-valued Fourier multiplierselectroneutralityparabolic-elliptic systems


Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Chemical and reactive effects in solid mechanics (74F25) PDEs in connection with mechanics of deformable solids (35Q74) Mixed-type systems of PDEs (35M30)


Related Items (2)

Strong well-posedness of a three phase problem with nonlinear transmission condition ⋮ A biharmonic transmission problem in \(L^p\)-spaces



Cites Work

  • Reaction-diffusion problems in electrolysis
  • Multi-dimensional electrochemistry model
  • ℛ-boundedness, Fourier multipliers and problems of elliptic and parabolic type
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