Acta mathematica scientia,Series A ›› 1997, Vol. 17 ›› Issue (2): 134-144.

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Appromaxlmation and Convergence of a Class of Hyperbolic Inverse Problem

Liu Jijun, Wang Yuanming   

  1. Department of Mathematics, Southeast University Nanjing, 210018
  • Received:1995-03-25 Online:1997-04-26 Published:1997-04-26

Abstract: This paper deals with the impedance inverse problem arising in the seismic geophysics. By spline theory, we approximate the infinite dimensional inverse problem by a problem in the finite dimensional space. With the aid of semi-group theory, we prove that the solution of apprximate problem converges the solution of original inverse problem.

Key words: Inverse problem, approximation, convergence

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