메뉴 건너뛰기




Volumn 24, Issue 1, 2008, Pages

Inverse problems for the Schrödinger equation via Carleman inequalities with degenerate weights

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; INVERSE PROBLEMS;

EID: 41849112331     PISSN: 02665611     EISSN: 13616420     Source Type: Journal    
DOI: 10.1088/0266-5611/24/1/015017     Document Type: Article
Times cited : (88)

References (20)
  • 1
    • 0036906375 scopus 로고    scopus 로고
    • Uniqueness and stability in an inverse problem for the Schrödinger equation
    • Baudouin L and Puel J-P 2002 Uniqueness and stability in an inverse problem for the Schrödinger equation Inverse Problems 18 1537-54
    • (2002) Inverse Problems , vol.18 , Issue.6 , pp. 1537-1554
    • Baudouin, L.1    Puel, J.-P.2
  • 2
    • 0000766304 scopus 로고
    • Global uniqueness of a class of inverse problems
    • Bukhgeim A and Klibanov M 1982 Global uniqueness of a class of inverse problems Sov. Math. Dokl. 24 244-7
    • (1982) Sov. Math. Dokl. , vol.24 , pp. 244-247
    • Bukhgeim, A.1    Klibanov, M.2
  • 3
    • 1842843728 scopus 로고    scopus 로고
    • Geometric control in the presence of a black box.
    • Burq N and Zworski M 2004 Geometric control in the presence of a black box. J. Am. Math. Soc. 17 443-71
    • (2004) J. Am. Math. Soc. , vol.17 , Issue.2 , pp. 443-471
    • Burq, N.1    Zworski, M.2
  • 5
    • 0004233353 scopus 로고
    • Linear differential equations of principal type
    • Egorov Yu V 1986 Linear differential equations of principal type Contemporary Soviet Mathematics (New York: Consultants Bureau)
    • (1986) Contemporary Soviet Mathematics
    • Egorov Yu, V.1
  • 6
    • 0037272324 scopus 로고    scopus 로고
    • Determination of a coefficient in an acoustic equation with a single measurement
    • Imanuvilov O and Yamamoto M 2003 Determination of a coefficient in an acoustic equation with a single measurement Inverse Problems 19 157-71
    • (2003) Inverse Problems , vol.19 , Issue.1 , pp. 157-171
    • Imanuvilov, O.1    Yamamoto, M.2
  • 7
    • 38249000245 scopus 로고
    • Carleman type estimates in an anisotropic case and applications
    • Isakov V 1993 Carleman type estimates in an anisotropic case and applications J. Diff. Eqns 105 217-38
    • (1993) J. Diff. Eqns , vol.105 , Issue.2 , pp. 217-238
    • Isakov, V.1
  • 9
    • 34547164277 scopus 로고    scopus 로고
    • The Calderón problem with partial data
    • Kenig C, Sjöstrand J and Uhlmann G 2007 The Calderón problem with partial data Ann. Math. 165 567-91
    • (2007) Ann. Math. , vol.165 , pp. 567-591
    • Kenig, C.1    Sjöstrand, J.2    Uhlmann, G.3
  • 10
    • 0347940923 scopus 로고
    • Newton-Kantorovich method for three-dimensional potential inverse scattering problem and stability of the hyperbolic Cauchy problem with time-dependent data
    • Klibanov M and Malinsky J 1991 Newton-Kantorovich method for three-dimensional potential inverse scattering problem and stability of the hyperbolic Cauchy problem with time-dependent data Inverse Problems 7 577-95
    • (1991) Inverse Problems , vol.7 , Issue.4 , pp. 577-595
    • Klibanov, M.1    Malinsky, J.2
  • 12
    • 1642385470 scopus 로고    scopus 로고
    • Global uniqueness, observability and stabilization of nonconservative Schrödinger equations via pointwise Carleman estimates: Part I. H1-estimates
    • Lasiecka I, Triggiani R and Zhang X 2004 Global uniqueness, observability and stabilization of nonconservative Schrödinger equations via pointwise Carleman estimates: Part I. H1-estimates J. Inv. Ill-posed Problems 11 43-123
    • (2004) J. Inv. Ill-posed Problems , vol.11 , pp. 43-123
    • Lasiecka, I.1    Triggiani, R.2    Zhang, X.3
  • 13
    • 0031233726 scopus 로고    scopus 로고
    • Locally distributed control and damping for the conservative systems
    • Liu K 1997 Locally distributed control and damping for the conservative systems SIAM J. Control Optim. 35 1574-90
    • (1997) SIAM J. Control Optim. , vol.35 , Issue.5 , pp. 1574-1590
    • Liu, K.1
  • 14
    • 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 , Issue.1 , pp. 24-34
    • MacHtyngier, E.1
  • 15
    • 84966241713 scopus 로고
    • A characterization of weak pseudoconvexity
    • Sakai A 1989 A characterization of weak pseudoconvexity Proc. Am. Math. Soc. 105 314-6
    • (1989) Proc. Am. Math. Soc. , vol.105 , Issue.2 , pp. 314-316
    • Sakai, A.1
  • 16
    • 0010125563 scopus 로고    scopus 로고
    • Carleman estimates, unique continuation and controllability for anizotropic PDE's
    • Tataru D 1997 Carleman estimates, unique continuation and controllability for anizotropic PDE's Contemp. Math. 209 267-79
    • (1997) Contemp. Math. , vol.209 , pp. 267-279
    • Tataru, D.1
  • 17
    • 23344440954 scopus 로고    scopus 로고
    • A spectral approach for the exact observability of infinite-dimensional systems with skew-adjoint generator
    • Ramdani K, Takahashi T, Tenenbaum G and Tucsnak M 2005 A spectral approach for the exact observability of infinite-dimensional systems with skew-adjoint generator J. Funct. Anal. 226 193-229
    • (2005) J. Funct. Anal. , vol.226 , Issue.1 , pp. 193-229
    • Ramdani, K.1    Takahashi, T.2    Tenenbaum, G.3    Tucsnak, M.4
  • 19
    • 41849087056 scopus 로고
    • Résultats d'unicité de Cauchy instable dans des situations o la condition de pseudo-convexité dégénère
    • Saint Raymond X 1986 Résultats d'unicité de Cauchy instable dans des situations o la condition de pseudo-convexité dégénère Ann. Scuola Norm. Sup. Pisa Cl. Sci. 13 661-87
    • (1986) Ann. Scuola Norm. Sup. Pisa Cl. Sci. , vol.13 , pp. 661-687
    • Saint Raymond, X.1
  • 20
    • 31744446192 scopus 로고    scopus 로고
    • Remarks on the controllability of the Schrödinger equation
    • Zuazua E 2003 Remarks on the controllability of the Schrödinger equation Quantum Control: Mathematical and Numerical Challenges (CRM Proc. Lect. Notes Ser.) ed A Bandrauk, M C Delfour and C Le Bris (Providence, RI: American Mathematical Society) pp 181-99
    • (2003) Quantum Control: Mathematical and Numerical Challenges , pp. 181-199
    • Zuazua, E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.