The Stokes Dirichlet-to-Neumann operator

被引：1
|
作者：
Denis, C. [1 ]
ter Elst, A. F. M. [2 ]
机构：
[1] Ctr Math & Informat CMI, Technopole Chateau Gombert,39 Rue F Joliot Curie, F-13453 Marseille 13, France
[2] Univ Auckland, Dept Math, Private Bag 92019, Auckland 1142, New Zealand
来源：
JOURNAL OF EVOLUTION EQUATIONS | 2024年 / 24卷 / 02期
关键词：
Stokes operator; Dirichlet-to-Neumann operator; Krein formula; Eigenvalue counting function; EIGENVALUE INEQUALITIES; EQUATIONS;
D O I：
10.1007/s00028-023-00930-x
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let Omega subset of R-d be a bounded open connected set with Lipschitz boundary. Let A(N) and A(D) be the Stokes Neumann operator and Stokes Dirichlet operator on Omega, respectively. We study the associated Stokes version of the Dirichlet-to-Neumann operator and show a Krein formula which relates these three Stokes version operators. We also prove a Stokes version of the Friedlander inequalities, which relates the Dirichlet eigenvalues and the Neumann eigenvalues.
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页数：26
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