메뉴 건너뛰기




Volumn 5, Issue 4, 1997, Pages 309-322

The BC-method in the inverse problem for the heat equation

Author keywords

[No Author keywords available]

Indexed keywords


EID: 84991373570     PISSN: 09280219     EISSN: None     Source Type: Journal    
DOI: 10.1515/jiip.1997.5.4.309     Document Type: Article
Times cited : (28)

References (19)
  • 1
    • 85026069041 scopus 로고
    • On a correspondence between dynamical and spectral inverse data for the heat equation.
    • Institute for Physical Research and Technology, St. Petersburg
    • S.A. Avdonin, M. I. Belishev and YU. S. Rozhkov, On a correspondence between dynamical and spectral inverse data for the heat equation. Preprint No. 72-95, Institute for Physical Research and Technology, St. Petersburg, 1995.
    • (1995) Preprint No. 72-95
    • Avdonin, S.A.1    Belishev, M.I.2    Rozhkov, Y.S.3
  • 5
    • 3042648053 scopus 로고
    • An approach to multidimensional inverse problems for the wave equation.
    • M.I. Belishev, An approach to multidimensional inverse problems for the wave equation. Soviet Math. Dokl. (1988) 36, No. 3, 481–484.
    • (1988) Soviet Math. Dokl. , vol.36 , Issue.3 , pp. 481-484
    • Belishev, M.I.1
  • 6
    • 30344461255 scopus 로고
    • Wave bases in multidimensional inverse problems.
    • M.I. Belishev, Wave bases in multidimensional inverse problems. Mathematics of the USSR, Sbornik (1990) 67, No. 1, 23–42.
    • (1990) Mathematics of the USSR, Sbornik , vol.67 , Issue.1 , pp. 23-42
    • Belishev, M.I.1
  • 7
    • 84996133165 scopus 로고
    • Boundary control and wave field continuation.
    • No.1, Leningrad Department of the Steklov Mathematical Institute
    • M.I. Belishev, Boundary control and wave field continuation. Preprint LOMI P-I-90, Leningrad Department of the Steklov Mathematical Institute, 1990, No.1.
    • (1990) Preprint LOMI P-I-90
    • Belishev, M.I.1
  • 8
    • 0342836163 scopus 로고    scopus 로고
    • Canonical model of a dynamical system with boundary control in the inverse problem of heat conductivity.
    • M.I. Belishev, Canonical model of a dynamical system with boundary control in the inverse problem of heat conductivity. St. Petersburg Math. J. (1996) 7, No. 6, 869–890.
    • (1996) St. Petersburg Math. J. , vol.7 , Issue.6 , pp. 869-890
    • Belishev, M.I.1
  • 9
    • 3343008286 scopus 로고
    • A spectral variant of the BC-method: theory and numerical experiment.
    • M.I. Belishev, V.B. Filippov and V.A. Ryzhov, A spectral variant of the BC-method: theory and numerical experiment. Phys. Dokl. (1994) 39, No. 7, 466–470.
    • (1994) Phys. Dokl. , vol.39 , Issue.7 , pp. 466-470
    • Belishev, M.I.1    Filippov, V.B.2    Ryzhov, V.A.3
  • 10
    • 84947680266 scopus 로고
    • To the reconstruction of a Riemannian manifold via its spectral data (BC-method).
    • M.I. Belishev and YA. V. Kurylev, To the reconstruction of a Riemannian manifold via its spectral data (BC-method). Comm. Partial Differential Equations (1992) 17, No. 5-6, 767–804.
    • (1992) Comm. Partial Differential Equations , vol.17 , Issue.5-6 , pp. 767-804
    • Belishev, M.I.1    Kurylev, Y.V.2
  • 11
    • 0030496663 scopus 로고    scopus 로고
    • On identification of a diffusion coefficient.
    • A. Elayyan and V. Isakov, On identification of a diffusion coefficient. Control and Cybernetics (1996) 25, No. 3, 441–450.
    • (1996) Control and Cybernetics , vol.25 , Issue.3 , pp. 441-450
    • Elayyan, A.1    Isakov, V.2
  • 12
    • 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. Rational Mech. Anal. (1971) 43, 272–292.
    • (1971) Arch. Rational Mech. Anal. , vol.43 , pp. 272-292
    • Fattorini, H.O.1    Russell, D.L.2
  • 13
    • 84963255809 scopus 로고
    • Contróle exact de l'équation de la chaleur.
    • G. Lebeau and L. Robbiano, Contróle exact de l'équation de la chaleur. Comm. Partial Differential Equations (1995) 20, No. 1-2, 335–356.
    • (1995) Comm. Partial Differential Equations , vol.20 , Issue.1-2 , pp. 335-356
    • Lebeau, G.1    Robbiano, L.2
  • 15
    • 0000451602 scopus 로고
    • The-equation in the multidimensional inverse scattering problem.
    • (in Russian).
    • R. G. Novikov and G.M. Khenkin, The-equation in the multidimensional inverse scattering problem. Uspekhi Matem. Nauk (1987) 42, No. 3, 93–152 (in Russian).
    • (1987) Uspekhi Matem. Nauk , vol.42 , Issue.3 , pp. 93-152
    • Novikov, R.G.1    Khenkin, G.M.2
  • 16
    • 50349085880 scopus 로고
    • Extension of data in inverse problem with concentrated sources.
    • (in Russian).
    • V.G. Romanov, Extension of data in inverse problem with concentrated sources. Matem. Zametki (1983) 34, No. 5, 693–698 (in Russian).
    • (1983) Matem. Zametki , vol.34 , Issue.5 , pp. 693-698
    • Romanov, V.G.1
  • 18
    • 0000820706 scopus 로고
    • Controllability and stabilizability theory for linear partial differential equations: recent progress and open questions.
    • D.L. Russel, Controllability and stabilizability theory for linear partial differential equations: recent progress and open questions. SIAM Review (1978) 20, No.4, 639–739.
    • (1978) SIAM Review , vol.20 , Issue.4 , pp. 639-739
    • Russel, D.L.1
  • 19
    • 85026114389 scopus 로고
    • The Dirichlet-to-Neumann map and applications.
    • Dept, of Mathematics, University of Washington, Seattle
    • J. Sylvester and G. Uhlmann. The Dirichlet-to-Neumann map and applications. Preprint WA 98195, Dept, of Mathematics, University of Washington, Seattle, 1990.
    • (1990) Preprint WA 98195
    • Sylvester, J.1    Uhlmann, G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.