In this paper, the 1-D, 2-D and 3-D coefficient inverse problem of the acoustic waveequation is reduced to the nonlinear integral equation. In the 1-D case, the nonlinear integralequation belongs to the second kind, w...In this paper, the 1-D, 2-D and 3-D coefficient inverse problem of the acoustic waveequation is reduced to the nonlinear integral equation. In the 1-D case, the nonlinear integralequation belongs to the second kind, while in the 2-D and 3-D cases, the nonlinear integralequation is an interesting integral geometry problem. The iteration for solving the aboveintegral equation has been considered. The nonlinear integral equation and its iterationin this paper will be useful in the theoretical and numerical analysis and in application toscience and engineering of the above inversion.展开更多
文摘In this paper, the 1-D, 2-D and 3-D coefficient inverse problem of the acoustic waveequation is reduced to the nonlinear integral equation. In the 1-D case, the nonlinear integralequation belongs to the second kind, while in the 2-D and 3-D cases, the nonlinear integralequation is an interesting integral geometry problem. The iteration for solving the aboveintegral equation has been considered. The nonlinear integral equation and its iterationin this paper will be useful in the theoretical and numerical analysis and in application toscience and engineering of the above inversion.
