Regularity of solutions for a sixth order nonlinear parabolic equation in two space dimensions

DOI10.4064/AP107-3-4zbMath1263.35127OpenAlexW2331625795MaRDI QIDQ4905245

Chein-Shan Liu

Publication date: 15 February 2013

Published in: Annales Polonici Mathematici (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/ap107-3-4

zbMATH Keywords

regularityexistenceCampanato spacestwo space dimensionssixth order nonlinear parabolic equationSchauder type estimatesoil-water-surfactant mixtures

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)

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Optimal control for a sixth order nonlinear parabolic equation ⋮ Global existence of weak solutions to a higher-order parabolic system ⋮ Time periodic solutions for a sixth order nonlinear parabolic equation in two space dimensions ⋮ A sixth-order phase-field equation with degenerate mobility ⋮ Weak solutions for a sixth order Cahn-Hilliard type equation with degenerate mobility ⋮ Global weak solutions to a higher order nonlinear degenerate parabolic equation ⋮ Some properties of solutions for a sixth-order Cahn–Hilliard type equation with inertial term ⋮ Weak solutions for a sixth-order phase-field equation with degenerate mobility ⋮ Cauchy problem for a sixth order Cahn-Hilliard type equation with inertial term ⋮ Global regular solvability of a nonuniformly nonlinear sixth order Cahn–Hilliard system

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