Quantitative stability estimates for a two-phase Serrin-type overdetermined problem

被引：6
作者：
Cavallina, Lorenzo [1 ]
Poggesi, Giorgio [2 ]
Yachimura, Toshiaki [3 ]
机构：
[1] Tohoku Univ, Math Inst, Sendai 9808578, Japan
[2] Univ Western Australia, Dept Math & Stat, 35 Stirling Highway,Crawley, Perth, WA 6009, Australia
[3] Kyoto Univ Inst Adv Study, Sakyo, Kyoto 6068501, Japan
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2022年 / 222卷
关键词：
Two-phase; Overdetermined problem; Serrin?s problem; Transmission condition; Stability; GROUND-STATE; CONDUCTORS;
D O I：
10.1016/j.na.2022.112919
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we deal with an overdetermined problem of Serrin-type with respect to a two-phase elliptic operator in divergence form with piecewise constant coefficients. In particular, we consider the case where the two-phase overdetermined problem is close to the one-phase setting. First, we show quantitative stability estimates for the two-phase problem via a one-phase stability result. Furthermore, we prove non-existence for the corresponding inner problem by the aforementioned two-phase stability result. (c) 2022 Elsevier Ltd. All rights reserved.
引用
收藏
页数：17
相关论文
共 38 条
[1]  
Ambrosetti A., 1983, A Primer of Nonlinear Analysis
[2]  
[Anonymous], 1977, Ann. Scuola Norm. Sup. Pisa Cl. Sci
[3]  
[Anonymous], 1983, PARTIAL DIFFERENTIAL
[4]  
[Anonymous], 1999, Adv. Differential Equations
[5]  
[Anonymous], 2011, Problems in mathematical analysis. no. 57. J. Math. Sci. (N.Y.), DOI [10.1007/s10958-011-0398-3, DOI 10.1007/S10958-011-0398-3]
[6]  
Barb S., 2009, THESIS
[7]   On the stability of the Serrin problem [J].
Brandolini, B. ;
Nitsch, C. ;
Salani, P. ;
Trombetti, C. .
JOURNAL OF DIFFERENTIAL EQUATIONS, 2008, 245 (06) :1566-1583
[8]  
Cavallina L., 2022, INDIANA U MATH J
[9]  
Cavallina L., 2023, COMMUN ANAL GEOM, V31
[10]  
Cavallina L., 2022, VOLUME CURRENT TREND
1234