Communications of the Korean Mathematical Society (대한수학회논문집)
- Volume 17 Issue 4
- /
- Pages.593-606
- /
- 2002
- /
- 1225-1763(pISSN)
- /
- 2234-3024(eISSN)
DOI QR Code
LOCAL EXISTENCE AND GLOBAL UNIQUENESS IN ONE DIMENSIONAL NONLINEAR HYPERBOLIC INVERSE PROBLEMS
- Choi, Jong-Sung (Department of Mathematics, Yonsei University)
- Published : 2002.10.01
Abstract
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.
Keywords
nonlinear hyperbolic inverse problems;local existence;global uniqueness;the principle of contracted mapping
File
References
- Inverse Problems v.8 Inverse problems and Carleman estimates M.V. Klibanov https://doi.org/10.1088/0266-5611/8/4/009
- translation in Differential Equations v.25 no.2 Local solvability of some multidimens
- Applied Math-ematical Sciences v.127 Inverse Problems for Partial Differential Equations V. Isakov
- 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
- Inverse Problems of Mathematical Physics, (English translation)
- 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
- Integral Geometry and Inverse Problems for Hyperbolic Equa-tions V.G. Romanov
- Inverse problems in vibration G.M.L. Gladwell
- Soviet Math. Dokl v.38 On stability estimates in multidimensional inverse problems for differential equations (English translation) A. Khaidarov
- Commun. in Partial Differential Equations v.13 Uniqueness for an inverse problem for the wave equation Rakesh;Symes https://doi.org/10.1080/03605308808820539