Regularity of solutions of the Cahn-Hilliard equation with non-constant mobility

DOI10.1007/s10114-005-0711-5zbMath1106.35011OpenAlexW2060441005MaRDI QIDQ2508637

Chein-Shan Liu, Jingxue Yin, Yuan-wei Qi

Publication date: 13 October 2006

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-005-0711-5

zbMATH Keywords

global existence of classical solutionsSchauder type estimates\(L^p\) type estimates

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear parabolic equations (35K55) Initial-boundary value problems for higher-order parabolic equations (35K35) A priori estimates in context of PDEs (35B45)

Related Items (6)

Large deviation for stochastic Cahn-Hilliard partial differential equations ⋮ Cahn-Hilliard equations governed by weakly nonlocal conservation laws and weakly nonlocal particle interactions ⋮ Existence of solutions for two types of generalized versions of the Cahn-Hilliard equation. ⋮ The spectral method for the Cahn-Hilliard equation with concentration-dependent mobility ⋮ The Cahn-Hilliard type equations with periodic potentials and sources ⋮ Dynamic transitions for quasilinear systems and Cahn-Hilliard equation with Onsager mobility

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