메뉴 건너뛰기




Volumn 38, Issue 3, 2000, Pages 736-750

Exact boundary controllability of a Maxwell problem

Author keywords

Exact boundary controllability; Maxwell

Indexed keywords


EID: 0037664905     PISSN: 03630129     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0363012998347559     Document Type: Article
Times cited : (18)

References (31)
  • 2
    • 0026923885 scopus 로고
    • Sharp sufficient conditions for the observation, control and stabilization of waves from the boundary
    • C. BARDOS, G. LEBEAU, AND J. RAUCH, Sharp sufficient conditions for the observation, control and stabilization of waves from the boundary, SIAM J. Control Optim., 30 (1992), pp. 1024-1065.
    • (1992) SIAM J. Control Optim. , vol.30 , pp. 1024-1065
    • Bardos, C.1    Lebeau, G.2    Rauch, J.3
  • 3
    • 0002567441 scopus 로고    scopus 로고
    • Asymptotic behavior of solutions to Maxwell's system in bounded domains with absorbing Silver-Müller's condition on the exterior boundary
    • H. BARUCQ AND B. HANOUZET, Asymptotic behavior of solutions to Maxwell's system in bounded domains with absorbing Silver-Müller's condition on the exterior boundary, Asymptotic Anal., 15 (1997), pp. 25-40.
    • (1997) Asymptotic Anal. , vol.15 , pp. 25-40
    • Barucq, H.1    Hanouzet, B.2
  • 4
    • 0001223941 scopus 로고    scopus 로고
    • Method of absorbing boundary conditions: Phenomena of error stabilization
    • H. BARUCQ, F. DELAURENS, AND B. HANOUZET, Method of absorbing boundary conditions: phenomena of error stabilization, SIAM J. Numer. Anal., 35 (1998), pp. 1113-1129.
    • (1998) SIAM J. Numer. Anal. , vol.35 , pp. 1113-1129
    • Barucq, H.1    Delaurens, F.2    Hanouzet, B.3
  • 5
    • 0002145565 scopus 로고
    • Some remarks on the exact controllability of Maxwell's equations
    • A. BENSOUSSAN, Some remarks on the exact controllability of Maxwell's equations, Acta Appl. Math., 20 (1990), pp. 197-229
    • (1990) Acta Appl. Math. , vol.20 , pp. 197-229
    • Bensoussan, A.1
  • 6
    • 0003235522 scopus 로고    scopus 로고
    • Mathematical Methods in Electromagnetism: Linear Theory and Applications
    • World Scientific, Singapore
    • M. CESSENAT, Mathematical Methods in Electromagnetism: Linear Theory and Applications, Ser. Adv. Math. Appl. Sci. 41, World Scientific, Singapore, 1996.
    • (1996) Ser. Adv. Math. Appl. Sci. , vol.41
    • Cessenat, M.1
  • 7
    • 0001197458 scopus 로고
    • A general theory of observation and control
    • S. DOLECKI AND D.L. RUSSELL, A general theory of observation and control, SIAM J. Control Optim., 158 (1977), pp. 185-220.
    • (1977) SIAM J. Control Optim. , vol.158 , pp. 185-220
    • Dolecki, S.1    Russell, D.L.2
  • 9
    • 84980081763 scopus 로고
    • Differential forms on Riemannian manifolds
    • K.O. FRIEDRICHS, Differential forms on Riemannian manifolds, Comm. Pure Appl. Math., 8 (1955), pp. 551-590.
    • (1955) Comm. Pure Appl. Math. , vol.8 , pp. 551-590
    • Friedrichs, K.O.1
  • 10
    • 0028397546 scopus 로고
    • Stabilization and exact boundary controllability for Maxwell's equations
    • B.V. KAPITONOV, Stabilization and exact boundary controllability for Maxwell's equations, SIAM J. Control Optim., 32 (1994) pp. 408-420.
    • (1994) SIAM J. Control Optim. , vol.32 , pp. 408-420
    • Kapitonov, B.V.1
  • 11
    • 0025399324 scopus 로고
    • Boundary controllability of Maxwell's equations in a spherical region
    • K.A. KIME, Boundary controllability of Maxwell's equations in a spherical region, SIAM J. Control Optim., 28 (1990), pp. 294-319.
    • (1990) SIAM J. Control Optim. , vol.28 , pp. 294-319
    • Kime, K.A.1
  • 12
    • 0002641721 scopus 로고
    • Boundary stabilization, observation and control of Maxwell's equations
    • V. KOMORNIK, Boundary stabilization, observation and control of Maxwell's equations, Panamer. Math. J., 4 (1994), pp. 47-61.
    • (1994) Panamer. Math. J. , vol.4 , pp. 47-61
    • Komornik, V.1
  • 13
    • 0001621951 scopus 로고
    • The linearization principle and invariant manifolds for problems of magnetohydrodynamics
    • O.A. LADYZHENSKAYA AND V.A. SOLONNIKOV, The linearization principle and invariant manifolds for problems of magnetohydrodynamics, J. Soviet Math. 8 (1977), pp. 384-422.
    • (1977) J. Soviet Math. , vol.8 , pp. 384-422
    • Ladyzhenskaya, O.A.1    Solonnikov, V.A.2
  • 14
    • 0024626689 scopus 로고
    • Exact boundary controllability of Maxwell's equations in a general region
    • J.E. LAGNESE, Exact boundary controllability of Maxwell's equations in a general region, SIAM J. Control Optim., 27 (1989), pp. 374-388.
    • (1989) SIAM J. Control Optim. , vol.27 , pp. 374-388
    • Lagnese, J.E.1
  • 16
    • 0009090777 scopus 로고
    • Decomposition theorems and their application to non-linear electro- And magneto-static, boundary value problems
    • Partial Differential Equations and Calculus of Variations, St. Hildebrandt and R. Leis, eds., Springer, New York
    • A. MILANI AND R. PICARD, Decomposition theorems and their application to non-linear electro- and magneto-static, boundary value problems, in Partial Differential Equations and Calculus of Variations, St. Hildebrandt and R. Leis, eds., Lecture Notes in Math. 1357, Springer, New York, 1988, pp. 317-340.
    • (1988) Lecture Notes in Math. , vol.1357 , pp. 317-340
    • Milani, A.1    Picard, R.2
  • 17
    • 0001282381 scopus 로고
    • Contrôlabilité exacte sur une partie du bord des équations de Maxwell
    • O. NALIN, Contrôlabilité exacte sur une partie du bord des équations de Maxwell, C. R. Acad. Sci. Paris Sér. I Math., 309 (1989), pp. 811-815.
    • (1989) C. R. Acad. Sci. Paris Sér. I Math. , vol.309 , pp. 811-815
    • Nalin, O.1
  • 18
    • 0002074394 scopus 로고
    • Zur Theorie der harmonischen Differentialformen
    • R. PICARD, Zur Theorie der harmonischen Differentialformen, Manuscripta Math., 27 (1979), pp. 31-45.
    • (1979) Manuscripta Math. , vol.27 , pp. 31-45
    • Picard, R.1
  • 19
    • 0019680968 scopus 로고
    • Randwertaufgaben in der verallgemeinerten Potentialtheorie
    • R. PICARD, Randwertaufgaben in der verallgemeinerten Potentialtheorie, Math. Methods Appl. Sci., 3 (1981), pp. 218-228.
    • (1981) Math. Methods Appl. Sci. , vol.3 , pp. 218-228
    • Picard, R.1
  • 20
    • 0015008050 scopus 로고
    • Boundary value control of the higher dimensional wave equation
    • D.L. RUSSELL, Boundary value control of the higher dimensional wave equation, SIAM J. Control Optim., 9 (1971), pp. 29-42.
    • (1971) SIAM J. Control Optim. , vol.9 , pp. 29-42
    • Russell, D.L.1
  • 21
    • 0002227181 scopus 로고
    • Boundary value controllability of wave and heat processes in star-complemented regions
    • E.O. Roxin, P.-T. Liu, and R.L. Sternberg, eds., Marcel Dekker, New York
    • D.L. RUSSELL, Boundary value controllability of wave and heat processes in star-complemented regions, in Proc. Conference on Differential Games and Control Theory, E.O. Roxin, P.-T. Liu, and R.L. Sternberg, eds., Marcel Dekker, New York, 1974.
    • (1974) Proc. Conference on Differential Games and Control Theory
    • Russell, D.L.1
  • 22
    • 84961355905 scopus 로고
    • A unified boundary controllability theory for hyperbolic and parabolic partial differential equations
    • D.L. RUSSELL, A unified boundary controllability theory for hyperbolic and parabolic partial differential equations, Stud. Appl. Math., 52 (1973), pp. 189-211.
    • (1973) Stud. Appl. Math. , vol.52 , pp. 189-211
    • Russell, D.L.1
  • 23
    • 0022681213 scopus 로고
    • The Dirichlet-Neumann boundary control problem associated with Maxwell's equations in cylindrical region
    • D.L. RUSSELL, The Dirichlet-Neumann boundary control problem associated with Maxwell's equations in cylindrical region, SIAM J. Control Optim., 24 (1986), pp. 199-229.
    • (1986) SIAM J. Control Optim. , vol.24 , pp. 199-229
    • Russell, D.L.1
  • 24
    • 0037692639 scopus 로고    scopus 로고
    • On the regularity of boundary traces for the wave equation
    • D. TATARU, On the regularity of boundary traces for the wave equation, Ann. Scuola Norm. Sup. Pisa, 26 (1998), pp. 185-206.
    • (1998) Ann. Scuola Norm. Sup. Pisa , vol.26 , pp. 185-206
    • Tataru, D.1
  • 26
    • 84979103896 scopus 로고
    • A local compactness theorem for Maxwell's equations
    • C. WEBER, A local compactness theorem for Maxwell's equations, Math. Methods Appl. Sci., 2 (1980), pp. 12-25.
    • (1980) Math. Methods Appl. Sci. , vol.2 , pp. 12-25
    • Weber, C.1
  • 27
    • 0019691827 scopus 로고
    • Regularity theorems for Maxwell's equations
    • C. WEBER, Regularity theorems for Maxwell's equations, Math. Methods Appl. Sci., 3 (1981), pp. 523-536.
    • (1981) Math. Methods Appl. Sci. , vol.3 , pp. 523-536
    • Weber, C.1
  • 28
    • 0016057704 scopus 로고
    • Maxwell's boundary value problem on Riemannian manifolds with nonsmooth boundaries
    • N. WECK, Maxwell's boundary value problem on Riemannian manifolds with nonsmooth boundaries, J. Math. Anal. Appl., 46 (1974), pp. 410-437.
    • (1974) J. Math. Anal. Appl. , vol.46 , pp. 410-437
    • Weck, N.1
  • 29
    • 0000727886 scopus 로고
    • Die natürlichen Randwertaufgaben im Außenraum für Strahlungsfelder beliebiger Dimension und beliebigen Ranges
    • H. WEYL, Die natürlichen Randwertaufgaben im Außenraum für Strahlungsfelder beliebiger Dimension und beliebigen Ranges, Math. Z., 56 (1952), pp. 105-119.
    • (1952) Math. Z. , vol.56 , pp. 105-119
    • Weyl, H.1
  • 30
    • 84988163617 scopus 로고
    • A remark on a compactness result in electromagnetic theory
    • K.J. WITSCH, A remark on a compactness result in electromagnetic theory, Math. Methods Appl. Sci., 16 (1993), pp. 123-129.
    • (1993) Math. Methods Appl. Sci. , vol.16 , pp. 123-129
    • Witsch, K.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.