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Volumn 33, Issue 1, 1998, Pages 25-39

L∞-optimal control of the periodic 1-D wave equation with X-dependent coefficients

Author keywords

1 D wave equation; Conjugate functions; Eigenvalues and eigenfunctions; Fourier series; Gradients; Nonmonotone Lipschitz nonlinearities; Optimal pairs; Periodic weak solutions; Seismic waves; Selfadjoint operators

Indexed keywords

BOUNDARY VALUE PROBLEMS; EIGENVALUES AND EIGENFUNCTIONS; INTEGRATION; OPTIMAL CONTROL SYSTEMS; THEOREM PROVING;

EID: 0032119193     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(97)00537-3     Document Type: Article
Times cited : (5)

References (8)
  • 1
    • 0000768522 scopus 로고
    • About the stability of the inverse problem in the one-dimensional wave equation to the interpretation of seismic profiles
    • Bamberger, A., Chavent, G. and Lailly, P., About the stability of the inverse problem in the one-dimensional wave equation to the interpretation of seismic profiles. Appl. Math. Optimiz., 1979, 5, 1-47.
    • (1979) Appl. Math. Optimiz. , vol.5 , pp. 1-47
    • Bamberger, A.1    Chavent, G.2    Lailly, P.3
  • 2
    • 0031236651 scopus 로고    scopus 로고
    • Determining the acousting impedance in the 1-D wave equation via an optimal control problem
    • Barbu, V. and Pavel, N. H., Determining the acousting impedance in the 1-D wave equation via an optimal control problem. SIAM J. Control Optim., 1997, 35, 1544-1556.
    • (1997) SIAM J. Control Optim. , vol.35 , pp. 1544-1556
    • Barbu, V.1    Pavel, N.H.2
  • 3
    • 21744453908 scopus 로고    scopus 로고
    • Periodic solutions to nonlinear 1-D wave equations with x-dependent coefficients
    • Barbu, V. and Pavel, N. H., Periodic solutions to nonlinear 1-D wave equations with x-dependent coefficients. Trans. Amer. Math. Soc., 1997, 349, 2035-2049.
    • (1997) Trans. Amer. Math. Soc. , vol.349 , pp. 2035-2049
    • Barbu, V.1    Pavel, N.H.2
  • 4
    • 0030778034 scopus 로고    scopus 로고
    • Optimal control of the one-dimensional wave equation
    • Barbu, V., Optimal control of the one-dimensional wave equation. Appl. Math. Optim., 1997, 35, 77-90.
    • (1997) Appl. Math. Optim. , vol.35 , pp. 77-90
    • Barbu, V.1
  • 5
    • 84966219315 scopus 로고
    • Periodic solutions of nonlinear vibrating string and duality principles
    • Brezis, H., Periodic solutions of nonlinear vibrating string and duality principles. Bull. AMS, 1983, 8, 409-426.
    • (1983) Bull. AMS , vol.8 , pp. 409-426
    • Brezis, H.1
  • 6
    • 0042584071 scopus 로고
    • ∞-optimal control
    • 18-23 Aug. 1995, Plovdiv, Bulgaria
    • ∞-optimal control. Proc. Sith. Int. Conf. on Diff. Eqns., 18-23 Aug. 1995, Plovdiv, Bulgaria, 1995, 1, 299-307.
    • (1995) Proc. Sith. Int. Conf. on Diff. Eqns. , vol.1 , pp. 299-307
    • Pavel, N.H.1
  • 8
    • 0042083098 scopus 로고    scopus 로고
    • Periodic solutions to nonlinear 2-D wave equation
    • ed. A. G. Kartsatos, Lecture Notes in Pure and Appl. Math. Marcel Dekker, New York
    • Pavel, N. H., Periodic solutions to nonlinear 2-D wave equation. In Applications of Nonlinear Maximal Monotone Operators, ed. A. G. Kartsatos, Lecture Notes in Pure and Appl. Math. Marcel Dekker, New York, 1997.
    • (1997) Applications of Nonlinear Maximal Monotone Operators
    • Pavel, N.H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.