대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제17권4호
  • /
  • Pages.593-606
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  • 2002
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  • 1225-1763(pISSN)
  • /
  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
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LOCAL EXISTENCE AND GLOBAL UNIQUENESS IN ONE DIMENSIONAL NONLINEAR HYPERBOLIC INVERSE PROBLEMS

  • 발행 : 2002.10.01
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초록

We prove local existence and global uniqueness in one dimensional nonlinear hyperbolic inverse problems. The basic key for showing the local existence of inverse solution is the principle of contracted mapping. As an application, we consider a hyperbolic inverse problem with damping term.

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참고문헌

  1. Inverse problems in vibration G.M.L. Gladwell
  2. Applied Math-ematical Sciences v.127 Inverse Problems for Partial Differential Equations V. Isakov
  3. Soviet Math. Dokl v.38 On stability estimates in multidimensional inverse problems for differential equations (English translation) A. Khaidarov
  4. Inverse Problems v.8 Inverse problems and Carleman estimates M.V. Klibanov https://doi.org/10.1088/0266-5611/8/4/009
  5. Translations AMS, Pro-bidence, R.I. v.130 One-dimensional inverse problems of mathematical physics M.M. Lavrent'ev;K.G. Reznitskaya;V.G. Yakhno
  6. Commun. in Partial Differential Equations v.13 Uniqueness for an inverse problem for the wave equation Rakesh;Symes https://doi.org/10.1080/03605308808820539
  7. Integral Geometry and Inverse Problems for Hyperbolic Equa-tions V.G. Romanov
  8. Inverse Problems of Mathematical Physics, (English translation)
  9. translation in Differential Equations v.25 no.2 Local solvability of some multidimens
  10. J. Math. Pures. Appl. v.78 Uniqueness and stability in multidimensional hyperbolic inverse problems M. Yamamoto https://doi.org/10.1016/S0021-7824(99)80010-5