Hadamard's Variational Formula for Simple Eigenvalues

被引：0
|
作者：
Suzuki, Takashi [1 ]
Tsuchiya, Takuya [1 ]
机构：
[1] Osaka Univ, Ctr Math Modeling & Data Sci, Osaka 5650871, Japan
来源：
APPLIEDMATH | 2024年 / 4卷 / 04期
关键词：
eigenvalue problem; perturbation theory of linear operators; domain deformation; Hadamard's variational formula; Garabadian-Schiffer's formula;
D O I：
10.3390/appliedmath4040065
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Here, we study Hadamard's variational formula for simple eigenvalues under dynamical and conformal deformations. Particularly, harmonic convexity of the first eigenvalue of the Laplacian under the mixed boundary condition is established for a two-dimensional domain, which implies several new inequalities.
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页码：1211 / 1229
页数：19
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