Existence and regularity of weak solutions to a model for coarsening in molecular beam epitaxy

DOI10.1002/mma.2648zbMath1270.35253arXiv1102.0937OpenAlexW2963090093MaRDI QIDQ4921729

Jun Zhang, Peicheng Zhu

Publication date: 13 May 2013

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1102.0937

zbMATH Keywords

slope selectionmodel of Langevin type

Mathematics Subject Classification ID

Initial-boundary value problems for higher-order parabolic equations (35K35) Weak solutions to PDEs (35D30) Semilinear parabolic equations (35K58)

Related Items (1)

Global well-posedness of solutions for the epitaxy thin film growth model

Cites Work

• Regularity and blow up in a surface growth model
• A fourth-order parabolic equation modeling epitaxial thin film growth
• Upper bounds on coarsening rates
• Global solutions in higher dimensions to a fourth-order parabolic equation modeling epitaxial thin-film growth
• Dynamic Scaling of Growing Interfaces
• Solutions to a model for interface motion by interface diffusion
• Nonlinear Schrödinger evolution equations
• Upper bound on the coarsening rate for an epitaxial growth model
• Thin film epitaxy with or without slope selection

This page was built for publication: Existence and regularity of weak solutions to a model for coarsening in molecular beam epitaxy