Existence of solutions for a nonlocal epitaxial thin film growing equation

DOI10.1007/S00013-012-0419-6zbMath1250.35132OpenAlexW2042998599MaRDI QIDQ453162

Zhenbang Li, Chein-Shan Liu

Publication date: 18 September 2012

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-012-0419-6

zbMATH Keywords

parabolic regularization

Mathematics Subject Classification ID

Thin fluid films (76A20) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Weak solutions to PDEs (35D30) Quasilinear parabolic equations with (p)-Laplacian (35K92)

Related Items (5)

Asymptotic estimate of weak solutions in a fourth-order parabolic equation with logarithm ⋮ The existence of non-blow-up phenomenon for a generalized nonlocal Cahn-Hilliard equation with degenerate mobility ⋮ Lower bound of blow-up time to a fourth order parabolic equation modeling epitaxial thin film growth ⋮ Some properties of solutions for a parabolic equation modeling epitaxial thin film growth ⋮ The existence of weak solutions for a nonlocal Cahn-Hilliard equation with degenerate mobility

Cites Work

• Degenerate parabolic equations
• A fourth order nonlinear degenerate parabolic equation
• A fourth-order parabolic equation modeling epitaxial thin film growth
• The Neumann boundary problem for a nonlocal Cahn-Hilliard equation
• A continuum model of kinetic roughening and coarsening in thin films
• Regularity of solutions for a fourth order parabolic equation
• A fourth order parabolic equation with nonlinear principal part
• The Dirichlet boundary problem for a nonlocal Cahn-Hilliard equation
• Upper bound on the coarsening rate for an epitaxial growth model
• A fourth‐order parabolic equation in two space dimensions

This page was built for publication: Existence of solutions for a nonlocal epitaxial thin film growing equation