메뉴 건너뛰기




Volumn 89, Issue 3, 2008, Pages 225-247

Relaxation of an optimal design problem for the heat equation

Author keywords

Heat equation; Homogenization; Optimal design; Relaxation; Young measure

Indexed keywords


EID: 39849107175     PISSN: 00217824     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.matpur.2007.12.009     Document Type: Article
Times cited : (19)

References (21)
  • 1
    • 0742298560 scopus 로고    scopus 로고
    • Shape Optimization by the Homogenization Method
    • Springer-Verlag, New York
    • Allaire G. Shape Optimization by the Homogenization Method. Applied Mathematical Sciences vol. 146 (2002), Springer-Verlag, New York
    • (2002) Applied Mathematical Sciences , vol.146
    • Allaire, G.1
  • 2
    • 0035284949 scopus 로고    scopus 로고
    • Optimal design via variational principles: the one-dimensional case
    • Bellido J., and Pedregal P. Optimal design via variational principles: the one-dimensional case. J. Math. Pures Appl. 80 2 (2001) 245-261
    • (2001) J. Math. Pures Appl. , vol.80 , Issue.2 , pp. 245-261
    • Bellido, J.1    Pedregal, P.2
  • 3
    • 0010886454 scopus 로고
    • Correctors for the homogenization of the wave and heat equations
    • Brahim-Otsmane S., Francfort G.A., and Murat F. Correctors for the homogenization of the wave and heat equations. J. Math. Pures Appl. 71 3 (1992) 197-231
    • (1992) J. Math. Pures Appl. , vol.71 , Issue.3 , pp. 197-231
    • Brahim-Otsmane, S.1    Francfort, G.A.2    Murat, F.3
  • 7
    • 0033249123 scopus 로고    scopus 로고
    • A-quasiconvexity, lower semicontinuity and Young measures
    • Fonseca I., and Müller S. A-quasiconvexity, lower semicontinuity and Young measures. SIAM J. Math. Anal. 30 6 (1999) 1355-1390
    • (1999) SIAM J. Math. Anal. , vol.30 , Issue.6 , pp. 1355-1390
    • Fonseca, I.1    Müller, S.2
  • 8
    • 0003073394 scopus 로고
    • Weak convergence of integrands and the Young measure representation
    • Kinderleher D., and Pedregal P. Weak convergence of integrands and the Young measure representation. SIAM J. Math. Anal. 23 1 (1992) 1-19
    • (1992) SIAM J. Math. Anal. , vol.23 , Issue.1 , pp. 1-19
    • Kinderleher, D.1    Pedregal, P.2
  • 9
    • 84990602642 scopus 로고
    • Optimal design and relaxation of variational problems
    • Kohn R.V., and Strang G. Optimal design and relaxation of variational problems. Comm. Pure Appl. Math. 39 (1986) 113-182
    • (1986) Comm. Pure Appl. Math. , vol.39 , pp. 113-182
    • Kohn, R.V.1    Strang, G.2
  • 10
    • 0003204978 scopus 로고    scopus 로고
    • Control in the coefficients of linear hyperbolic equations via spatio-temporal components. Homogenization
    • World Sci. Publ., River Edge, NJ
    • Lurie K.A. Control in the coefficients of linear hyperbolic equations via spatio-temporal components. Homogenization. Ser. Adv. Math. Appl. Sci. vol. 50 (1999), World Sci. Publ., River Edge, NJ 285-315
    • (1999) Ser. Adv. Math. Appl. Sci. , vol.50 , pp. 285-315
    • Lurie, K.A.1
  • 11
    • 1842639909 scopus 로고    scopus 로고
    • Some new advances in the theory of dynamic materials
    • Lurie K.A. Some new advances in the theory of dynamic materials. Journal of Elasticity 72 (2003) 229-239
    • (2003) Journal of Elasticity , vol.72 , pp. 229-239
    • Lurie, K.A.1
  • 12
    • 39849088235 scopus 로고    scopus 로고
    • A spatio-temporal design problem for a damped wave equation
    • Maestre F., Münch A., and Pedregal P. A spatio-temporal design problem for a damped wave equation. SIAM J. Appl. Math. 68 1 (2007) 109-132
    • (2007) SIAM J. Appl. Math. , vol.68 , Issue.1 , pp. 109-132
    • Maestre, F.1    Münch, A.2    Pedregal, P.3
  • 13
    • 33748797939 scopus 로고    scopus 로고
    • Optimal design of the damping set for the stabilization of the wave equation
    • Münch A., Pedregal P., and Periago F. Optimal design of the damping set for the stabilization of the wave equation. J. Differential Equations 231 1 (2006) 331-358
    • (2006) J. Differential Equations , vol.231 , Issue.1 , pp. 331-358
    • Münch, A.1    Pedregal, P.2    Periago, F.3
  • 14
    • 39849087345 scopus 로고    scopus 로고
    • A. Münch, P. Pedregal, F. Periago, Optimal internal stabilization of the linear system of elasticity, preprint, 2006
    • A. Münch, P. Pedregal, F. Periago, Optimal internal stabilization of the linear system of elasticity, preprint, 2006
  • 15
    • 0001496391 scopus 로고
    • Calcul des Variations et Homogénéisation, les Méthodes d'Homogénéisation, Théories et Applications en Physique
    • Eyrolles, Paris
    • Murat F., and Tartar L. Calcul des Variations et Homogénéisation, les Méthodes d'Homogénéisation, Théories et Applications en Physique. Coll. Dir. Etudes et Recherches EDF vol. 57 (1965), Eyrolles, Paris 319-369
    • (1965) Coll. Dir. Etudes et Recherches EDF , vol.57 , pp. 319-369
    • Murat, F.1    Tartar, L.2
  • 17
    • 30844437297 scopus 로고    scopus 로고
    • Vector variational problems and applications to optimal design
    • Pedregal P. Vector variational problems and applications to optimal design. ESAIM-COCV 11 3 (2005) 357-381
    • (2005) ESAIM-COCV , vol.11 , Issue.3 , pp. 357-381
    • Pedregal, P.1
  • 18
    • 39849111137 scopus 로고    scopus 로고
    • Optimal design in two-dimensional conductivity for a general cost depending on the field
    • Pedregal P. Optimal design in two-dimensional conductivity for a general cost depending on the field. Arch. Rational Mech. Anal. 182 (2006) 367-385
    • (2006) Arch. Rational Mech. Anal. , vol.182 , pp. 367-385
    • Pedregal, P.1
  • 19
    • 39849094409 scopus 로고    scopus 로고
    • Div-Curl Young measures and optimal design in any dimension
    • Pedregal P. Div-Curl Young measures and optimal design in any dimension. Rev. Mat. Comput. 20 1 (2007) 239-255
    • (2007) Rev. Mat. Comput. , vol.20 , Issue.1 , pp. 239-255
    • Pedregal, P.1
  • 20
    • 0010534121 scopus 로고    scopus 로고
    • An introduction to the Homogenization method in optimal design
    • Cellina A., and Ornelas A. (Eds), Springer
    • Tartar L. An introduction to the Homogenization method in optimal design. In: Cellina A., and Ornelas A. (Eds). Lecture Notes in Mathematics vol. 1740 (1998), Springer 47-156
    • (1998) Lecture Notes in Mathematics , vol.1740 , pp. 47-156
    • Tartar, L.1
  • 21
    • 0037088151 scopus 로고    scopus 로고
    • Functionally graded materials for prescribed field evolution
    • Turteltaub S. Functionally graded materials for prescribed field evolution. Comput. Methods Appl. Mech. Engrg. 192 (2002) 2283-2296
    • (2002) Comput. Methods Appl. Mech. Engrg. , vol.192 , pp. 2283-2296
    • Turteltaub, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.