On Fourier multipliers in function spaces with partial Hölder condition and their application to the linearized Cahn-Hilliard equation with dynamic boundary conditions

DOI10.3934/eect.2015.4.391zbMath1334.42023arXiv1402.7212OpenAlexW2964180072MaRDI QIDQ258814

Sergey P. Degtyarev

Publication date: 10 March 2016

Published in: Evolution Equations and Control Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.7212

zbMATH Keywords

Fourier multiplierspartial regularityCahn-Hilliard equationHölder spacesdynamic boundary conditions

Mathematics Subject Classification ID

Multipliers for harmonic analysis in several variables (42B15) Free boundary problems for PDEs (35R35) Boundary value problems for linear higher-order PDEs (35G15) Initial-boundary value problems for linear higher-order PDEs (35G16) Harmonic analysis and PDEs (42B37)

Related Items (2)

Cauchy problems for parabolic equations in Sobolev-Slobodeckii and Hölder spaces on uniformly regular Riemannian manifolds ⋮ Cauchy problem for a fractional anisotropic parabolic equation in anisotropic Hölder spaces

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