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Volumn 49, Issue 1, 2003, Pages 81-98

Approximate controllability of a stochastic wave equation

Author keywords

Approximate controllability; Brownian motion; Hilbert uniqueness method; Measurability; Pathwise solutions; The Ito representation theorem; Wave equation

Indexed keywords

APPROXIMATION THEORY; BOUNDARY CONDITIONS; BROWNIAN MOVEMENT; MATHEMATICAL MODELS; PROBLEM SOLVING; THEOREM PROVING;

EID: 21144450224     PISSN: 00954616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00245-003-0781-7     Document Type: Article
Times cited : (23)

References (11)
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    • eds. Da Prato, G., and Tubaro, L., Marcel Dekker, New York
    • Barbu, V., and Tessitore, G., Considerations on the controllability of stochastic linear heat equations, in Stochastic Partial Differential Equations and Applications, eds. Da Prato, G., and Tubaro, L., Marcel Dekker, New York, 2002, pp. 39-51.
    • (2002) Stochastic Partial Differential Equations and Applications , pp. 39-51
    • Barbu, V.1    Tessitore, G.2
  • 2
    • 0036106973 scopus 로고    scopus 로고
    • Stochastic wave equations with polynomial nonlinearity
    • Chow, P.L., Stochastic wave equations with polynomial nonlinearity, Ann. Appl. Probab. 12 (2002), 361-381.
    • (2002) Ann. Appl. Probab. , vol.12 , pp. 361-381
    • Chow, P.L.1
  • 4
    • 0033560428 scopus 로고    scopus 로고
    • On the approximate controllability of a stochastic parabolic equation with multiplicative noise
    • Fernandez-Cara, E., Garrido-Atienza, M.J., and Real, J., On the approximate controllability of a stochastic parabolic equation with multiplicative noise, C.R. Acad. Sci. Paris Sér. 1328 (1999), 675-680.
    • (1999) C.R. Acad. Sci. Paris Sér. , vol.1328 , pp. 675-680
    • Fernandez-Cara, E.1    Garrido-Atienza, M.J.2    Real, J.3
  • 5
    • 21144456241 scopus 로고
    • On a completion problem in the theory of distributed control of wave equations
    • Nonlinear Partial Differential Equations and Their Applications, Collège de France Seminar (1987-88), Pitman, Boston, MA
    • Haraux, A., On a completion problem in the theory of distributed control of wave equations, in Nonlinear Partial Differential Equations and Their Applications, Collège de France Seminar (1987-88), Research Notes in Mathematics 220, Pitman, Boston, MA, 1991, pp. 241-271.
    • (1991) Research Notes in Mathematics , vol.220 , pp. 241-271
    • Haraux, A.1
  • 8
    • 0023966723 scopus 로고
    • Exact controllability, stabilization and perturbations for distributed systems
    • Lions, J.L., Exact controllability, stabilization and perturbations for distributed systems, SIAM Rev. 30 (1988), 1-68.
    • (1988) SIAM Rev. , vol.30 , pp. 1-68
    • Lions, J.L.1
  • 10
    • 0036913242 scopus 로고    scopus 로고
    • On controllability of semilinear stochastic systems in Hilbert spaces
    • Mahmudov, N., On controllability of semilinear stochastic systems in Hilbert spaces, IMA J. Math. Control Inform. 19 (2002), 363-376.
    • (2002) IMA J. Math. Control Inform. , vol.19 , pp. 363-376
    • Mahmudov, N.1
  • 11
    • 0347488345 scopus 로고    scopus 로고
    • The Cauchy problem for a nonlinear stochastic wave equation in any dimension
    • Peszat, S., The Cauchy problem for a nonlinear stochastic wave equation in any dimension, J. Evol. Equations 2 (2002), 383-394.
    • (2002) J. Evol. Equations , vol.2 , pp. 383-394
    • Peszat, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.