@article{d547c336bec14a3199eb0075377f0f31,
title = "The decoupling of elastic waves from a weak formulation perspective",
abstract = "Two weak formulations for the Lam{\'e} system with the boundary conditions of third and fourth types are proposed. It is shown that the regularity of the solutions and properties of the boundary surface guarantee the equivalence of variational and standard formulations of the problem. Moreover, if the boundary of Ω is a Lipschitz polyhedron or if S (x) = 0 on ∂Ω, the decoupling results of [8] are derived from the weak formulations.",
keywords = "Decoupling, Lam{\'e} system, Weak formulation",
author = "Junjiang Lai and Hongyu Liu and Jingni Xiao and Yifeng Xu",
note = "Funding Information: One of us (J.L.) was supported by the Natural Science Foundation of Fujian Province of China (2016J01670), while H.L. was supported by the startup fund and FRG grants from Hong Kong Baptist University and the Hong Kong RGC grants (Projects 12302017 and 12301218) and Y.X. by the National Natural Science Foundation of China (11201307), the Ministry of Education of China through Special Research Fund for the Doctoral Program of Higher Education (20123127120001) and Natural Science Foundation of Shanghai (17ZR1420800).",
year = "2019",
month = may,
doi = "10.4208/eajam.080818.121018",
language = "English",
volume = "9",
pages = "241--251",
journal = "East Asian Journal on Applied Mathematics",
issn = "2079-7362",
publisher = "Global Science Press",
number = "2",
}