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Volumn 29, Issue 2, 2000, Pages 485-511

Second derivatives and sufficient optimality conditions for shape functionals

Author keywords

Optimal shape design; Second directional derivatives; Sufficient optimality conditions

Indexed keywords


EID: 0034401181     PISSN: 03248569     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (29)

References (21)
  • 1
    • 3142596236 scopus 로고    scopus 로고
    • Symmetry and sufficient condition of optimality in a domain optimization problem
    • BELOV, S. and FUJII, N. (1997) Symmetry and sufficient condition of optimality in a domain optimization problem. Control and Cybernetics, 26, 45-56.
    • (1997) Control and Cybernetics , vol.26 , pp. 45-56
    • Belov, S.1    Fujii, N.2
  • 3
    • 0038587058 scopus 로고    scopus 로고
    • Second order sufficient optimality coditions for a nonlinear elliptic boundary control problem
    • CASAS, E., TRÖLTZSCH, F., UNGER, A. (1996) Second order sufficient optimality coditions for a nonlinear elliptic boundary control problem Z. f. Anal. u. Anw., 15, 687-707.
    • (1996) Z. F. Anal. U. Anw. , vol.15 , pp. 687-707
    • Casas, E.1    Tröltzsch, F.2    Unger, A.3
  • 7
    • 0348095865 scopus 로고    scopus 로고
    • Fréchet-differentiability and sufficient optimality conditions for shape functionals
    • K.-H. Hoffmann, G. Leugering, F. Tröltzsch, eds.: ISNM, Basel: Birkhäuser
    • EPPLER, K. (1999) Fréchet-differentiability and sufficient optimality conditions for shape functionals. In: K.-H. Hoffmann, G. Leugering, F. Tröltzsch, eds.: Optimal control of Partial Differential Equations, ISNM, 133, 133-143, Basel: Birkhäuser.
    • (1999) Optimal Control of Partial Differential Equations , vol.133 , pp. 133-143
    • Eppler, K.1
  • 8
    • 0022711191 scopus 로고
    • Necessary conditions for a domain optimization problem in elliptic boundary value problems
    • FUJII, N. (1986) Necessary conditions for a domain optimization problem in elliptic boundary value problems. SIAM J. Control and Optimization, 24, 346-360.
    • (1986) SIAM J. Control and Optimization , vol.24 , pp. 346-360
    • Fujii, N.1
  • 9
    • 0025432278 scopus 로고
    • Second order necessary conditions in a domain optimization problem
    • FUJII, N. (1990) Second order necessary conditions in a domain optimization problem. Journal of Optimization Theory and Applications, 65, 223-245.
    • (1990) Journal of Optimization Theory and Applications , vol.65 , pp. 223-245
    • Fujii, N.1
  • 10
    • 0347465917 scopus 로고
    • Sufficient conditions for optimality in shape optimization
    • FUJII, N. (1994) Sufficient conditions for optimality in shape optimization. Control and Cybernetics, 23, 393-406.
    • (1994) Control and Cybernetics , vol.23 , pp. 393-406
    • Fujii, N.1
  • 11
    • 0348095864 scopus 로고
    • A potential method for shape optimization problems
    • FUJII, N. and GOTO, Y. (1994) A potential method for shape optimization problems. Control and Cybernetics, 23, 383-392.
    • (1994) Control and Cybernetics , vol.23 , pp. 383-392
    • Fujii, N.1    Goto, Y.2
  • 17
    • 0000631543 scopus 로고
    • Fréchet differentiability of boundary integral operators in inverse acoustic scattering
    • POTTHAST, R. (1994A) Fréchet differentiability of boundary integral operators in inverse acoustic scattering. Inverse Problems, 10, 431-447.
    • (1994) Inverse Problems , vol.10 , pp. 431-447
    • Potthast, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.