메뉴 건너뛰기




Volumn 336, Issue 2, 2007, Pages 865-887

Carleman estimates for the one-dimensional heat equation with a discontinuous coefficient and applications to controllability and an inverse problem

Author keywords

Carleman estimate; Control; Non smooth coefficients; Observability; Parabolic equations

Indexed keywords


EID: 34548171032     PISSN: 0022247X     EISSN: 10960813     Source Type: Journal    
DOI: 10.1016/j.jmaa.2007.03.024     Document Type: Article
Times cited : (56)

References (18)
  • 1
    • 33646360562 scopus 로고    scopus 로고
    • Null controllability of some reaction-diffusion systems with one control force
    • Ammar Khodja F., Benabdallah A., and Dupaix C. Null controllability of some reaction-diffusion systems with one control force. J. Math. Anal. Appl. 320 (2006) 928-943
    • (2006) J. Math. Anal. Appl. , vol.320 , pp. 928-943
    • Ammar Khodja, F.1    Benabdallah, A.2    Dupaix, C.3
  • 4
    • 0033722042 scopus 로고    scopus 로고
    • Exact controllability of the superlinear heat equation
    • Barbu V. Exact controllability of the superlinear heat equation. Appl. Math. Optim. 42 (2000) 73-89
    • (2000) Appl. Math. Optim. , vol.42 , pp. 73-89
    • Barbu, V.1
  • 5
    • 34548177588 scopus 로고    scopus 로고
    • A. Benabdallah, P. Gaitan, J. Le Rousseau, Stability of discontinuous diffusion coefficients and initial conditions in an inverse problem for the heat equation, SIAM J. Control Optim., in press
  • 7
    • 0037860864 scopus 로고    scopus 로고
    • On the controllability of parabolic systems with a nonlinear term involving the state and the gradient
    • Doubova A., Fernandez-Cara E., Gonzales-Burgos M., and Zuazua E. On the controllability of parabolic systems with a nonlinear term involving the state and the gradient. SIAM J. Control Optim. 41 (2002) 798-819
    • (2002) SIAM J. Control Optim. , vol.41 , pp. 798-819
    • Doubova, A.1    Fernandez-Cara, E.2    Gonzales-Burgos, M.3    Zuazua, E.4
  • 8
    • 4344703293 scopus 로고    scopus 로고
    • Exact controllability to trajectories for semilinear heat equations with discontinuous diffusion coefficients
    • Doubova A., Osses A., and Puel J.-P. Exact controllability to trajectories for semilinear heat equations with discontinuous diffusion coefficients. ESAIM Control Optim. Calc. Var. 8 (2002) 621-661
    • (2002) ESAIM Control Optim. Calc. Var. , vol.8 , pp. 621-661
    • Doubova, A.1    Osses, A.2    Puel, J.-P.3
  • 10
    • 33845410206 scopus 로고    scopus 로고
    • Global Carleman inequalities for parabolic systems and application to controllability
    • Fernández-Cara E., and Guerrero S. Global Carleman inequalities for parabolic systems and application to controllability. SIAM J. Control Optim. 45 4 (2006) 1395-1446
    • (2006) SIAM J. Control Optim. , vol.45 , Issue.4 , pp. 1395-1446
    • Fernández-Cara, E.1    Guerrero, S.2
  • 11
    • 0037908198 scopus 로고    scopus 로고
    • Null and approximate controllability for weakly blowing up semilinear heat equations
    • Fernández-Cara E., and Zuazua E. Null and approximate controllability for weakly blowing up semilinear heat equations. Ann. Inst. H. Poincaré Anal. Non Linéaire 17 (2000) 583-616
    • (2000) Ann. Inst. H. Poincaré Anal. Non Linéaire , vol.17 , pp. 583-616
    • Fernández-Cara, E.1    Zuazua, E.2
  • 12
    • 18644373977 scopus 로고    scopus 로고
    • On the null controllability of the one-dimensional heat equation with BV coefficients
    • Fernández-Cara E., and Zuazua E. On the null controllability of the one-dimensional heat equation with BV coefficients. Comput. Appl. Math. 21 (2002) 167-190
    • (2002) Comput. Appl. Math. , vol.21 , pp. 167-190
    • Fernández-Cara, E.1    Zuazua, E.2
  • 13
    • 0003252621 scopus 로고    scopus 로고
    • Controllability of Evolution Equations
    • Seoul National University, Korea
    • Fursikov A., and Imanuvilov O.Yu. Controllability of Evolution Equations. Lecture Notes vol. 34 (1996), Seoul National University, Korea
    • (1996) Lecture Notes , vol.34
    • Fursikov, A.1    Imanuvilov, O.Yu.2
  • 14
    • 34548177349 scopus 로고    scopus 로고
    • M. Gonzales-Burgos, private communication, 2005
  • 18
    • 84961355905 scopus 로고
    • A unified boundary controllability theory for hyperbolic and parabolic partial differential equations
    • Russell D.L. A unified boundary controllability theory for hyperbolic and parabolic partial differential equations. Studies Appl. Math. 52 (1973) 189-221
    • (1973) Studies Appl. Math. , vol.52 , pp. 189-221
    • Russell, D.L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.