Global well-posedness of solutions for the epitaxy thin film growth model
Articles
Ning Duan
Northeastern University
https://orcid.org/0000-0002-8333-4414
Fengnan Liu
Dalian University of Technology
https://orcid.org/0000-0001-7087-6823
Xiaopeng Zhao
Northeastern University
https://orcid.org/0000-0002-8333-4414
Published 2021-07-01
https://doi.org/10.15388/namc.2021.26.23936
PDF

Keywords

lobal well-posedness
local existence
uniqueness
epitaxy thin film growth model

How to Cite

Duan N., Liu F. and Zhao X. (2021) “Global well-posedness of solutions for the epitaxy thin film growth model”, Nonlinear Analysis: Modelling and Control, 26(4), pp. 565-580. doi: 10.15388/namc.2021.26.23936.

Abstract

In this paper, we consider the global well-posedness of solutions for the initial-boundary value problems of the epitaxy growth model. We first construct the local smooth solution, then by combining some a priori estimates, continuity argument, the local smooth solutions are extended step by step to all t > 0, provided that the initial datums sufficiently small and the smooth nonlinear functions satisfy certain local growth conditions.

PDF
Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Please read the Copyright Notice in Journal Policy