English

Gradient Bounds and Coarsening Estimates for Some Molecular Beam Epitaxy Models

Analysis of PDEs 2021-04-26 v1

Abstract

We prove global well-posedness for some molecular beam epitaxy models. This requires proving some bounds on the gradient of solutions. We also obtain some global bounds on the roughness of solutions.

Keywords

Cite

@article{arxiv.2104.11495,
  title  = {Gradient Bounds and Coarsening Estimates for Some Molecular Beam Epitaxy Models},
  author = {Daniel Oliveira da Silva and Magzhan Biyar},
  journal= {arXiv preprint arXiv:2104.11495},
  year   = {2021}
}
R2 v1 2026-06-24T01:27:25.464Z