메뉴 건너뛰기




Volumn 31, Issue 10, 2006, Pages 1505-1528

Unification of the probe and singular sources methods for the inverse boundary value problem by the no-response test

Author keywords

Conductivity problem; Dirichlet to Neumann map; Inverse problems

Indexed keywords


EID: 33748865770     PISSN: 03605302     EISSN: 15324133     Source Type: Journal    
DOI: 10.1080/03605300600854282     Document Type: Article
Times cited : (18)

References (26)
  • 2
    • 0001638402 scopus 로고
    • Local uniqueness in the inverse conductivity problem with one measurement
    • Alessandrini, G., Isakov, V., Powell, J. (1995). Local uniqueness in the inverse conductivity problem with one measurement. Trans. Amer. Math. Soc. 347:3031-3041.
    • (1995) Trans. Amer. Math. Soc. , vol.347 , pp. 3031-3041
    • Alessandrini, G.1    Isakov, V.2    Powell, J.3
  • 3
    • 0004228846 scopus 로고
    • Pure and Applied Mathematics 115. Academic Press, Inc.
    • Chavel, I. (1984). Eigenvalues in Riemannian Geometry. Pure and Applied Mathematics 115. Academic Press, Inc.
    • (1984) Eigenvalues in Riemannian Geometry
    • Chavel, I.1
  • 6
    • 6344260629 scopus 로고    scopus 로고
    • Reconstruction of inclusion for inverse boundary value problem with mixed type boundary condition and source term
    • Daido, Y., Nakamura, G. (2004). Reconstruction of inclusion for inverse boundary value problem with mixed type boundary condition and source term. Inverse Problems 20:1599-1619.
    • (2004) Inverse Problems , vol.20 , pp. 1599-1619
    • Daido, Y.1    Nakamura, G.2
  • 8
    • 0007267567 scopus 로고    scopus 로고
    • Reconstruction of the shape of the inclusion from boundary measurements
    • Ikehata, M. (1998). Reconstruction of the shape of the inclusion from boundary measurements. Comm. PDE. 23:1459-1474.
    • (1998) Comm. PDE. , vol.23 , pp. 1459-1474
    • Ikehata, M.1
  • 10
    • 85009846023 scopus 로고    scopus 로고
    • Identification of the shape of inclusion in the anisotropic elastic body
    • Ikehata, M., Nakamura, G., Tanuma, K. (1999). Identification of the shape of inclusion in the anisotropic elastic body. Applicable Analysis 72:17-26.
    • (1999) Applicable Analysis , vol.72 , pp. 17-26
    • Ikehata, M.1    Nakamura, G.2    Tanuma, K.3
  • 11
    • 84990557331 scopus 로고
    • On uniqueness of recovery of a discontinuous conductivity coefficient
    • Isakov, V. (1988). On uniqueness of recovery of a discontinuous conductivity coefficient. Comm. Pure Appl. Math. 14:865-877.
    • (1988) Comm. Pure Appl. Math. , vol.14 , pp. 865-877
    • Isakov, V.1
  • 12
  • 14
    • 84980089565 scopus 로고
    • A stability theorem for solutions of abstract differential equations, and its application to the study of the local behavior of solutions for elliptic equations
    • Lax, P. D. (1956). A stability theorem for solutions of abstract differential equations, and its application to the study of the local behavior of solutions for elliptic equations. Communication on Pure and Applied Mathematics, IX:747-766.
    • (1956) Communication on Pure and Applied Mathematics , vol.9 , pp. 747-766
    • Lax, P.D.1
  • 15
    • 0034413375 scopus 로고    scopus 로고
    • Gradient estimates for solutions to divergence form elliptic equations with discontiuous coefficients
    • Li, Y. Y., Vogelius, M. (2000). Gradient estimates for solutions to divergence form elliptic equations with discontiuous coefficients. Arch. Rational. Mech. Anal. 153:91-151.
    • (2000) Arch. Rational. Mech. Anal. , vol.153 , pp. 91-151
    • Li, Y.Y.1    Vogelius, M.2
  • 17
    • 0038255962 scopus 로고    scopus 로고
    • The no-response test-a sampling method for inverse acoustic scattering theory
    • Luke, D.-R., Potthast, R. (2003). The no-response test-a sampling method for inverse acoustic scattering theory. SIAM J. App. Math. 63:1292-1312.
    • (2003) SIAM J. App. Math. , vol.63 , pp. 1292-1312
    • Luke, D.-R.1    Potthast, R.2
  • 19
    • 0001929311 scopus 로고    scopus 로고
    • Michael, Potential theory on Lipschitz domains in Riemannian manifolds: Sobolev-Besov space results and the Poisson problem
    • Mitrea, M., Taylor, M. (2000). Michael, Potential theory on Lipschitz domains in Riemannian manifolds: Sobolev-Besov space results and the Poisson problem. J. Funct. Anal. 176:1-79
    • (2000) J. Funct. Anal. , vol.176 , pp. 1-79
    • Mitrea, M.1    Taylor, M.2
  • 23
    • 17744391068 scopus 로고    scopus 로고
    • A new non-iterative singular sources method for the reconstruction of piecewise constant media
    • Potthast, R. (2004). A new non-iterative singular sources method for the reconstruction of piecewise constant media. Numer. Math. 98:703-730.
    • (2004) Numer. Math. , vol.98 , pp. 703-730
    • Potthast, R.1
  • 24
    • 0010009006 scopus 로고
    • p of solutions of elliptic equations with discontinuous coefficients and satisfying general boundary conditions and conjugacy conditions
    • p of solutions of elliptic equations with discontinuous coefficients and satisfying general boundary conditions and conjugacy conditions. Soviet Math. Dokl. 4:321-324.
    • (1963) Soviet Math. Dokl. , vol.4 , pp. 321-324
    • Seftel, Z.G.1
  • 25
    • 0001489944 scopus 로고
    • Generic properties of eigenfunctions
    • Uhlenbeck, K. (1976). Generic properties of eigenfunctions. Amer. J. Math. 98:1059-1078.
    • (1976) Amer. J. Math. , vol.98 , pp. 1059-1078
    • Uhlenbeck, K.1
  • 26
    • 0346685927 scopus 로고    scopus 로고
    • Approximation by Herglotz wave functions
    • Weck, N. (2004). Approximation by Herglotz wave functions. Math. Methods Appl. Sci. 27:155-162.
    • (2004) Math. Methods Appl. Sci. , vol.27 , pp. 155-162
    • Weck, N.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.