메뉴 건너뛰기




Volumn 17, Issue 5, 2001, Pages 1435-1444

Exponential instability in an inverse problem for the Schrödinger equation

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0035473445     PISSN: 02665611     EISSN: None     Source Type: Journal    
DOI: 10.1088/0266-5611/17/5/313     Document Type: Article
Times cited : (244)

References (24)
  • 1
    • 84972834699 scopus 로고
    • Stable determination of conductivity by boundary measurements
    • Alessandrini G 1988 Stable determination of conductivity by boundary measurements Appl. Anal. 27 153-72
    • (1988) Appl. Anal. , vol.27 , pp. 153-172
    • Alessandrini, G.1
  • 2
    • 0001666009 scopus 로고
    • Singular solutions of elliptic equations and the determination of conductivity by boundary measurements
    • Alessandrini G 1990 Singular solutions of elliptic equations and the determination of conductivity by boundary measurements J. Diff. Eq. 84 252-72
    • (1990) J. Diff. Eq. , vol.84 , pp. 252-272
    • Alessandrini, G.1
  • 3
    • 0343582637 scopus 로고
    • Determining conductivity by boundary measurements, the stability issue
    • ed R Spigler (Dordrecht: Kluwer)
    • Alessandrini G 1991 Determining conductivity by boundary measurements, the stability issue Applied and Industrial Mathematics ed R Spigler (Dordrecht: Kluwer) pp 317-24
    • (1991) Applied and Industrial Mathematics , pp. 317-324
    • Alessandrini, G.1
  • 4
    • 0001464670 scopus 로고    scopus 로고
    • Examples of instability in inverse boundary-value problems
    • Alessandrini G 1997 Examples of instability in inverse boundary-value problems Inverse Problems 13 887-97
    • (1997) Inverse Problems , vol.13 , pp. 887-897
    • Alessandrini, G.1
  • 5
    • 0001659228 scopus 로고    scopus 로고
    • Uniqueness in the inverse conductivity problem with less regular conductivities
    • Brown R and Uhlmann G 1997 Uniqueness in the inverse conductivity problem with less regular conductivities Commun. Partial Diff. Eq. 22 1009-27
    • (1997) Commun. Partial Diff. Eq. , vol.22 , pp. 1009-1027
    • Brown, R.1    Uhlmann, G.2
  • 7
    • 0007059921 scopus 로고
    • Multidimensional inverse scattering and nonlinear differential equations
    • Beals R and Coifman R R 1985 Multidimensional inverse scattering and nonlinear differential equations Proc. Symp. Pure Math. 43 45-70
    • (1985) Proc. Symp. Pure Math. , vol.43 , pp. 45-70
    • Beals, R.1    Coifman, R.R.2
  • 9
    • 0008131380 scopus 로고
    • Increasing solutions of the Schrödinger equation
    • in Russian
    • Faddeev L D 1965 Increasing solutions of the Schrödinger equation Dokl. Akad. Nauk SSSR 165 514-17 (in Russian) (Engl. Transl. 1966 Sov. Phys.-Dokl. 10 1033-5)
    • (1965) Dokl. Akad. Nauk SSSR , vol.165 , pp. 514-517
    • Faddeev, L.D.1
  • 10
    • 0009639124 scopus 로고
    • Engl. Transl.
    • Faddeev L D 1965 Increasing solutions of the Schrödinger equation Dokl. Akad. Nauk SSSR 165 514-17 (in Russian) (Engl. Transl. 1966 Sov. Phys.-Dokl. 10 1033-5)
    • (1966) Sov. Phys.-Dokl. , vol.10 , pp. 1033-1035
  • 11
    • 0001486748 scopus 로고    scopus 로고
    • Inverse problems for partial differential equations
    • Berlin: Springer
    • Isakov V 1998 Inverse problems for partial differential equations Applied Mathematical Sciences vol 27 (Berlin: Springer)
    • (1998) Applied Mathematical Sciences , vol.27
    • Isakov, V.1
  • 12
    • 84990583776 scopus 로고
    • Determining conductivity by boundary measurements
    • Kohn R and Vogelius M 1984 Determining conductivity by boundary measurements Commun. Pure Appl. Math. 37 289-98
    • (1984) Commun. Pure Appl. Math. , vol.37 , pp. 289-298
    • Kohn, R.1    Vogelius, M.2
  • 13
    • 0001904852 scopus 로고
    • -ε-entropy and ε-capacity in functional spaces
    • in Russian
    • Kolmogorov A N and Tikhomirov V M 1959 -ε-entropy and ε-capacity in functional spaces Usp. Mat. Nauk 14 3-86 (in Russian) (Engl. Transl. 1961 Am. Math. Soc. Transl 17 277-364)
    • (1959) Usp. Mat. Nauk , vol.14 , pp. 3-86
    • Kolmogorov, A.N.1    Tikhomirov, V.M.2
  • 14
    • 0000624821 scopus 로고
    • Engl. Transl.
    • Kolmogorov A N and Tikhomirov V M 1959 -ε-entropy and ε-capacity in functional spaces Usp. Mat. Nauk 14 3-86 (in Russian) (Engl. Transl. 1961 Am. Math. Soc. Transl 17 277-364)
    • (1961) Am. Math. Soc. Transl , vol.17 , pp. 277-364
  • 17
    • 0000426306 scopus 로고
    • Reconstructions from boundary measurements
    • Nachman A 1988 Reconstructions from boundary measurements Ann. Math. 128 531-576
    • (1988) Ann. Math. , vol.128 , pp. 531-576
    • Nachman, A.1
  • 19
    • 0030550779 scopus 로고
    • Global uniqueness for a two-dimensional inverse boundary value problem
    • Nachman A 1995 Global uniqueness for a two-dimensional inverse boundary value problem Ann. Math. 142 71-96
    • (1995) Ann. Math. , vol.142 , pp. 71-96
    • Nachman, A.1
  • 20
    • 34249973239 scopus 로고
    • Multidimensional inverse spectral problem for the equation - Δψ+ (v(x) - Eu(x))ψ = 0
    • in Russian
    • Novikov R G 1988 Multidimensional inverse spectral problem for the equation - Δψ+ (v(x) - Eu(x))ψ = 0 Funkt. Anal. Prilozhen. 22 11-22 (in Russian) (Engl. Transl. 1988 Funct. Anal. Appl. 22 263-72)
    • (1988) Funkt. Anal. Prilozhen. , vol.22 , pp. 11-22
    • Novikov, R.G.1
  • 21
    • 34249973239 scopus 로고
    • Engl. Transl.
    • Novikov R G 1988 Multidimensional inverse spectral problem for the equation - Δψ+ (v(x) - Eu(x))ψ = 0 Funkt. Anal. Prilozhen. 22 11-22 (in Russian) (Engl. Transl. 1988 Funct. Anal. Appl. 22 263-72)
    • (1988) Funct. Anal. Appl. , vol.22 , pp. 263-272
  • 22
    • 84974001727 scopus 로고
    • Generic uniqueness for an inverse boundary problem
    • Sun Z and Uhlmann G 1991 Generic uniqueness for an inverse boundary problem Duke Math. J. 62 131-55
    • (1991) Duke Math. J. , vol.62 , pp. 131-155
    • Sun, Z.1    Uhlmann, G.2
  • 23
    • 0001110912 scopus 로고
    • A global uniqueness theorem for an inverse boundary value problem
    • Sylvester J and Uhlmann G 1987 A global uniqueness theorem for an inverse boundary value problem Ann. Math. 125 153-69
    • (1987) Ann. Math. , vol.125 , pp. 153-169
    • Sylvester, J.1    Uhlmann, G.2
  • 24
    • 84990627147 scopus 로고
    • Inverse boundary value problems at the boundary - Continuous dependence
    • Sylvester J and Uhlmann G 1988 Inverse boundary value problems at the boundary - continuous dependence Commun. Pure Appl. Math. 41 197-221
    • (1988) Commun. Pure Appl. Math. , vol.41 , pp. 197-221
    • Sylvester, J.1    Uhlmann, G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.