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Volumn 10, Issue 3, 2004, Pages 381-408

Null controllability of the heat equation in unbounded domains by a finite measure control region

Author keywords

Null controllability; Weighted observability inequalities

Indexed keywords

DATA ACQUISITION; FUNCTIONS; MATHEMATICAL MODELS; NONLINEAR SYSTEMS; PROBLEM SOLVING; SET THEORY;

EID: 12844266790     PISSN: 12928119     EISSN: 12623377     Source Type: Journal    
DOI: 10.1051/cocv:2004010     Document Type: Article
Times cited : (28)

References (27)
  • 2
    • 0034425761 scopus 로고    scopus 로고
    • Null controllability of nonlinear convective heat equations
    • S. Anita and V. Barbu, Null controllability of nonlinear convective heat equations. ESAIM: COCV 5 (2000) 157-173.
    • (2000) ESAIM: COCV , vol.5 , pp. 157-173
    • Anita, S.1    Barbu, V.2
  • 3
    • 0035536763 scopus 로고    scopus 로고
    • Null controllability in unbounded domains for the semilinear heat equation with nonlinearities involving gradient terms
    • V.R. Cabanillas, S.B. De Menezes and E. Zuazua, Null controllability in unbounded domains for the semilinear heat equation with nonlinearities involving gradient terms. J. Optim. Theory Appl. 110 (2001) 245-264.
    • (2001) J. Optim. Theory Appl. , vol.110 , pp. 245-264
    • Cabanillas, V.R.1    De Menezes, S.B.2    Zuazua, E.3
  • 4
    • 0036614847 scopus 로고    scopus 로고
    • Nulle controlabilite regionale pour des equations de la chaleur degenerees
    • P. Cannarsa, P. Martinez and J. Vancostenoble, Nulle controlabilite regionale pour des equations de la chaleur degenerees. Comptes Rendus Mécanique 330 (2002) 397-401.
    • (2002) Comptes Rendus Mécanique , vol.330 , pp. 397-401
    • Cannarsa, P.1    Martinez, P.2    Vancostenoble, J.3
  • 5
    • 0032206541 scopus 로고    scopus 로고
    • Approximate controllability of a semilinear heat equation in Rn
    • n. SIAM J. Control Optim. 36 (1998) 2128-2147.
    • (1998) SIAM J. Control Optim. , vol.36 , pp. 2128-2147
    • De Teresa, L.1
  • 6
    • 0033197209 scopus 로고    scopus 로고
    • Approximate controllability of the semilinear heat equation in unbounded domains
    • L. De Teresa and E. Zuazua, Approximate controllability of the semilinear heat equation in unbounded domains. Nonlinear Anal. TMA 37 (1999) 1059-1090.
    • (1999) Nonlinear Anal. TMA , vol.37 , pp. 1059-1090
    • De Teresa, L.1    Zuazua, E.2
  • 7
    • 0001197458 scopus 로고
    • A general theory of observation and control
    • Sz. Dolecki and D.L. Russell, A general theory of observation and control. SIAM J. Control Optim. 15 (1977) 185-220.
    • (1977) SIAM J. Control Optim. , vol.15 , pp. 185-220
    • Dolecki, S.Z.1    Russell, D.L.2
  • 8
    • 84971109212 scopus 로고
    • Approximate controllability of the semilinear heat equation
    • C. Fabre, J.P. Puel and E. Zuazua, Approximate controllability of the semilinear heat equation. Proc. Roy. Soc. Edinb. A 125 (1995) 185-220.
    • (1995) Proc. Roy. Soc. Edinb. A , vol.125 , pp. 185-220
    • Fabre, C.1    Puel, J.P.2    Zuazua, E.3
  • 9
    • 0001093686 scopus 로고
    • Exact controllability theorems for linear parabolic equations in one space dimension
    • H.O. Fattorini and D.L. Russell, Exact controllability theorems for linear parabolic equations in one space dimension. Arch. Rat. Mech. Anal. 4 (1971) 272-292.
    • (1971) Arch. Rat. Mech. Anal. , vol.4 , pp. 272-292
    • Fattorini, H.O.1    Russell, D.L.2
  • 10
    • 0016050820 scopus 로고
    • Uniform bounds on biorthogonal functions for real exponentials with an application to the control theory of parabolic equations
    • H.O. Fattorini and D.L. Russell, Uniform bounds on biorthogonal functions for real exponentials with an application to the control theory of parabolic equations. Quart. Appl. Math. 32 (1974) 45-69.
    • (1974) Quart. Appl. Math. , vol.32 , pp. 45-69
    • Fattorini, H.O.1    Russell, D.L.2
  • 11
    • 84996139962 scopus 로고    scopus 로고
    • Null controllability of the semilinear heat equation
    • E. Fernandez-Cara, Null controllability of the semilinear heat equation. ESAIM: COCV 2 (1997) 87-103.
    • (1997) ESAIM: COCV , vol.2 , pp. 87-103
    • Fernandez-Cara, E.1
  • 12
    • 0001433193 scopus 로고    scopus 로고
    • The cost of approximate controllability for heat equations: The linear case
    • E. Fernandez-Cara and E. Zuazua, The cost of approximate controllability for heat equations: the linear case. Adv. Differ. Equations 5 (2000) 465-514.
    • (2000) Adv. Differ. Equations , vol.5 , pp. 465-514
    • Fernandez-Cara, E.1    Zuazua, E.2
  • 14
    • 0003886777 scopus 로고    scopus 로고
    • Controllability of evolution equations
    • Seoul National University, Seoul, Korea
    • A.V. Fursikov and O. Yu Imanuvilov, Controllability of evolution equations, Seoul National University, Seoul, Korea. Lect. Notes Ser. 34 (1996).
    • (1996) Lect. Notes Ser. , pp. 34
    • Fursikov, A.V.1    Imanuvilov, O.Y.2
  • 15
    • 0001005992 scopus 로고
    • Boundary controllability of parabolic equations
    • O. Yu. Imanuvilov, Boundary controllability of parabolic equations. Russian Acad. Sci. Sb. Math. 186 (1995) 109-132.
    • (1995) Russian Acad. Sci. Sb. Math. , vol.186 , pp. 109-132
    • Imanuvilov, O.Y.1
  • 16
    • 0017534986 scopus 로고
    • A fundamental solution for the heat equation which is supported in a strip
    • B.F. Jones Jr., A fundamental solution for the heat equation which is supported in a strip. J. Math. Anal. Appl. 60 (1977) 314-324.
    • (1977) J. Math. Anal. Appl. , vol.60 , pp. 314-324
    • Jones, B.F.1
  • 17
    • 0036210817 scopus 로고    scopus 로고
    • Mobile points controls versus locally distributed ones for the controllability of the semilinear parabolic equations
    • A. Khapalov, Mobile points controls versus locally distributed ones for the controllability of the semilinear parabolic equations. SIAM J. Control Optim. 40 (2001) 231-252.
    • (2001) SIAM J. Control Optim. , vol.40 , pp. 231-252
    • Khapalov, A.1
  • 18
    • 0000663829 scopus 로고
    • Carleman estimates and exact boundary controllability for a system of coupled, non conservative second order hyperbolic equations
    • Partial Differential Equations Methods in Control and Shape Analysis. Marcel Dekker, New York
    • I. Lasiecka and R. Triggiani, Carleman estimates and exact boundary controllability for a system of coupled, non conservative second order hyperbolic equations, in Partial Differential Equations Methods in Control and Shape Analysis. Marcel Dekker, New York, Lect. Notes Pure Appl. Math. 188 (1994) 215-243.
    • (1994) Lect. Notes Pure Appl. Math. , vol.188 , pp. 215-243
    • Lasiecka, I.1    Triggiani, R.2
  • 19
  • 20
    • 23044525306 scopus 로고    scopus 로고
    • On the lack of null controllability of the heat equation on the half-line
    • S. Micu and E. Zuazua, On the lack of null controllability of the heat equation on the half-line. Trans. Amer. Math. Soc. 353 (2001) 1635-1659.
    • (2001) Trans. Amer. Math. Soc. , vol.353 , pp. 1635-1659
    • Micu, S.1    Zuazua, E.2
  • 21
    • 0007222158 scopus 로고    scopus 로고
    • On the lack of null controllability of the heat equation on the half-space
    • S. Micu and E. Zuazua, On the lack of null controllability of the heat equation on the half-space. Portugaliae Math. 58 (2001) 1-24.
    • (2001) Portugaliae Math , vol.58 , pp. 1-24
    • Micu, S.1    Zuazua, E.2
  • 22
    • 0034455126 scopus 로고    scopus 로고
    • Exact boundary controllability for the linear Korteweg-de Vries equation on the half-line
    • L. Rosier, Exact boundary controllability for the linear Korteweg-de Vries equation on the half-line. SIAM J. Control Optim. 39 (2000) 331-351.
    • (2000) SIAM J. Control Optim. , vol.39 , pp. 331-351
    • Rosier, L.1
  • 23
    • 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) 189-221.
    • (1973) Stud. Appl. Math. , vol.52 , pp. 189-221
    • Russell, D.L.1
  • 24
    • 0000983021 scopus 로고
    • A priori estimates of Carleman’s type in domains with boundary
    • D. Tataru, A priori estimates of Carleman’s type in domains with boundary. J. Math. Pures Appl. 73 (1994) 355-387.
    • (1994) J. Math. Pures Appl. , vol.73 , pp. 355-387
    • Tataru, D.1
  • 25
    • 0001692117 scopus 로고    scopus 로고
    • Carleman estimates and unique continuation near the boundary for P.D.E.’s
    • D. Tataru, Carleman estimates and unique continuation near the boundary for P.D.E.’s. J. Math. Pures Appl. 75 367-408 (1996).
    • (1996) J. Math. Pures Appl. , vol.75 , pp. 367-408
    • Tataru, D.1
  • 26
    • 0036208299 scopus 로고    scopus 로고
    • A remark on null controllability of the heat equation
    • X. Zhang, A remark on null controllability of the heat equation. SIAM J. Control Optim. 40 (2001) 39-53.
    • (2001) SIAM J. Control Optim. , vol.40 , pp. 39-53
    • Zhang, X.1
  • 27
    • 0033265731 scopus 로고    scopus 로고
    • Approximate controllability for the semilinear heat equation with globally Lipschitz nonlinearities
    • E. Zuazua, Approximate controllability for the semilinear heat equation with globally Lipschitz nonlinearities. Control Cybern. 28 (1999) 665-683.
    • (1999) Control Cybern , vol.28 , pp. 665-683
    • Zuazua, E.1


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