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Volumn 18, Issue 6, 2002, Pages 1537-1554

Uniqueness and stability in an inverse problem for the Schrödinger equation

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; BOUNDARY CONDITIONS; DIFFERENTIAL EQUATIONS; EXTRAPOLATION; WAVE EQUATIONS;

EID: 0036906375     PISSN: 02665611     EISSN: None     Source Type: Journal    
DOI: 10.1088/0266-5611/18/6/307     Document Type: Article
Times cited : (157)

References (13)
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    • Bukhgeim A.L. and Uhlmann G. 2002 Recovering a potential from partial Cauchy data Commun. Partial Diff. Eqns 27 653-68.
    • (2002) Commun. Partial Diff. Eqns , vol.27 , pp. 653-668
    • Bukhgeim, A.L.1    Uhlmann, G.2
  • 5
    • 0000085334 scopus 로고    scopus 로고
    • Global uniqueness and stability in determining coefficients of wave equations
    • Imanuvilov O.Yu. and Yamamoto M. 2001 Global uniqueness and stability in determining coefficients of wave equations Commun. Partial Diff. Eqns 26 1409-25.
    • (2001) Commun. Partial Diff. Eqns , vol.26 , pp. 1409-1425
    • Imanuvilov, O.Yu.1    Yamamoto, M.2
  • 6
    • 0342902119 scopus 로고    scopus 로고
    • Global Lipschitz stability in an inverse hyperbolic problem by interior observations
    • Imanuvilov O.Yu. and Yamamoto M. 2001 Global Lipschitz stability in an inverse hyperbolic problem by interior observations Inverse Problems 17 717-28.
    • (2001) Inverse Problems , vol.17 , pp. 717-728
    • Imanuvilov, O.Yu.1    Yamamoto, M.2
  • 7
    • 0000042241 scopus 로고
    • Inverse problems and Carleman estimates
    • Klibanov M.V. 1992 Inverse problems and Carleman estimates Inverse Problems 8 575-96.
    • (1992) Inverse Problems , vol.8 , pp. 575-596
    • Klibanov, M.V.1
  • 8
    • 84972514083 scopus 로고
    • Optimal regularity, exact controllability and uniform stabilization of the Schrödinger equations with Dirichlet control
    • Lasiecka I. and Triggiani R. 1992 Optimal regularity, exact controllability and uniform stabilization of the Schrödinger equations with Dirichlet control Diff. Integral Eqns 5 521-35.
    • (1992) Diff. Integral Eqns , vol.5 , pp. 521-535
    • Lasiecka, I.1    Triggiani, R.2
  • 9
    • 0028257122 scopus 로고
    • Exact controllability for the Schrödinger equation
    • Machtyngier E. 1994 Exact controllability for the Schrödinger equation SIAM J. Control Optim. 32 24-34.
    • (1994) SIAM J. Control Optim. , vol.32 , pp. 24-34
    • Machtyngier, E.1
  • 10
    • 0000571030 scopus 로고    scopus 로고
    • Smoothing property in multidimentional inverse hyperbolic problems: Application to uniqueness and stability
    • Puel J.-P. and Yamamoto M. 1996 Smoothing property in multidimentional inverse hyperbolic problems: application to uniqueness and stability J. Inverse Ill-posed Problems 4 283-96.
    • (1996) J. Inverse Ill-posed Problems , vol.4 , pp. 283-296
    • Puel, J.-P.1    Yamamoto, M.2
  • 11
    • 0347742899 scopus 로고    scopus 로고
    • Carleman estimates and exact boundary controllability for a system of coupled non-conservative Schrödinger equations
    • Special issue supplement, dedicated to the memory of Pierre Grisvard
    • Triggiani R. 1997 Carleman estimates and exact boundary controllability for a system of coupled non-conservative Schrödinger equations Rend. Istit. Mat. Univ. Trieste 28 453-504 (Special issue supplement, dedicated to the memory of Pierre Grisvard).
    • (1997) Rend. Istit. Mat. Univ. Trieste , vol.28 , pp. 453-504
    • Triggiani, R.1
  • 12
    • 0345854810 scopus 로고    scopus 로고
    • Inverse estimates for Schrödinger equations with variable coefficients
    • Triggiani R. and Yao P.-F. 1999 Inverse estimates for Schrödinger equations with variable coefficients Control Cybern. 28 627-64.
    • (1999) Control Cybern. , vol.28 , pp. 627-664
    • Triggiani, R.1    Yao, P.-F.2
  • 13
    • 0032622981 scopus 로고    scopus 로고
    • Uniqueness and stability in multidimensional hyperbolic inverse problems
    • Yamamoto M. 1999 Uniqueness and stability in multidimensional hyperbolic inverse problems J. Math. Pure Appl. 78 65-98.
    • (1999) J. Math. Pure Appl. , vol.78 , pp. 65-98
    • Yamamoto, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.