Elliptic estimates for the Dirichlet-Neumann operator on a corner domain | |
Ming, Mei ; Wang, Chao | |
2017 | |
关键词 | Elliptic estimate Dirichlet-Neumann operator corner domains water waves problem BOUNDARY-VALUE-PROBLEMS GENERAL EDGE ASYMPTOTICS STABLE ASYMPTOTICS WELL-POSEDNESS PLANE DOMAINS EQUATIONS 2ND-ORDER POINTS COEFFICIENTS WAVES |
英文摘要 | We consider the elliptic estimates for the Dirichlet-Neumann operator related to the water waves problem on a two-dimensional corner domain in this paper. Due to the singularity of the boundary, there will be singular parts in the solution of the elliptic problem for the D-N operator. To begin with, we study elliptic problems with mixed boundary conditions to derive singularity decompositions and estimates. Based on this analysis, we present the estimates for both the D-N operator and its shape derivative with the existence of singular parts.; NSFC [11401598]; SCI(E); ARTICLE; 3-4; 103-166; 104 |
语种 | 英语 |
出处 | SCI |
出版者 | ASYMPTOTIC ANALYSIS |
内容类型 | 其他 |
源URL | [http://hdl.handle.net/20.500.11897/475812] |
专题 | 数学科学学院 |
推荐引用方式 GB/T 7714 | Ming, Mei,Wang, Chao. Elliptic estimates for the Dirichlet-Neumann operator on a corner domain. 2017-01-01. |
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