Some shape optimization problems for eigenvalues

被引:5
|
作者
Gasimov, Yusif S. [1 ]
机构
[1] Boku State Univ, Inst Appl Math, AZ-1148 Baku, Azerbaijan
关键词
D O I
10.1088/1751-8113/41/5/055202
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
In this work we consider some inverse problems with respect to domain for the Laplace operator. The considered problems are reduced to the variational formulation. The equivalency of these problems is obtained under some conditions. The formula is obtained for the eigenvalue in the optimal domain.
引用
收藏
页数:9
相关论文
共 50 条
  • [41] Some Flows in Shape Optimization
    Pierre Cardaliaguet
    Olivier Ley
    Archive for Rational Mechanics and Analysis, 2007, 183 : 21 - 58
  • [42] Variational Methods in Shape Optimization Problems
    Timofte, Claudia
    REVUE ROUMAINE DE MATHEMATIQUES PURES ET APPLIQUEES, 2007, 52 (05): : 596 - 597
  • [43] SHAPE OPTIMIZATION IN CONTACT PROBLEMS WITH FRICTION
    HASLINGER, J
    HORAK, V
    NEITTAANMAKI, P
    NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 1985, 8 (5-6) : 557 - 587
  • [44] SHAPE OPTIMIZATION PROBLEMS FOR METRIC GRAPHS
    Buttazzo, Giuseppe
    Ruffini, Berardo
    Velichkov, Bozhidar
    ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS, 2014, 20 (01) : 1 - 22
  • [45] Shape optimization for noise radiation problems
    Cao, YZ
    Stanescu, D
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2002, 44 (12) : 1527 - 1537
  • [46] SHAPE OPTIMIZATION IN FRICTIONLESS CONTACT PROBLEMS
    FANCELLO, EA
    FEIJOO, RA
    INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1994, 37 (13) : 2311 - 2335
  • [47] Shape flows for spectral optimization problems
    Bucur, Dorin
    Buttazzo, Giuseppe
    Stefanelli, Ulisse
    INTERFACES AND FREE BOUNDARIES, 2012, 14 (04) : 521 - 544
  • [48] Shape optimization of thermoviscoelastic contact problems
    Myslinski, A
    CONTROL AND CYBERNETICS, 2003, 32 (03): : 611 - 627
  • [49] Solution to boundary shape optimization problems
    Azegami, H
    HIGH PERFORMANCE STRUCTURES AND MATERIALS II, 2004, : 589 - 598
  • [50] Shape optimization in frictionless contact problems
    Fancello, Eduardo A., 1600, Publ by John Wiley & Sons Ltd, Chichester, United Kingdom (37):