Mathematical analysis to a nonlinear fourth-order partial differential equation

DOI10.1016/j.na.2011.03.035zbMath1219.35076OpenAlexW2010280061WikidataQ115343031 ScholiaQ115343031MaRDI QIDQ540266

Bo Liang

Publication date: 1 June 2011

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2011.03.035

zbMATH Keywords

Cahn-Hilliard equationthin filmexponential decayfourth-ordersemi-discrete

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Boundary value problems for higher-order elliptic equations (35J40) Weak solutions to PDEs (35D30) Higher-order elliptic equations (35J30) Higher-order parabolic equations (35K25) Positive solutions to PDEs (35B09)

Related Items (5)

Liouville property for solutions of the linearized degenerate thin film equation of fourth order in a halfspace ⋮ Study of weak solutions to a nonlinear fourth‐order parabolic equation with boundary degeneracy ⋮ Existence of solutions to a doubly degenerate fourth-order partial differential equation with a degenerate diffusion ⋮ Construction of the Pauli-Villars-regulated Dirac vacuum in electromagnetic fields ⋮ Classical solvability of the multidimensional free boundary problem for the thin film equation with quadratic mobility in the case of partial wetting

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