Acta mathematica scientia,Series A ›› 2013, Vol. 33 ›› Issue (6): 1189-1195.

• Articles • Previous Articles    

Inverse Problem for Diffusion Operators from Interior Spectral Data

 WANG Yu-Ping   

  1. Department of Applied Mathematics, Nanjing Forestry University, Nanjing |210037
  • Received:2012-03-08 Revised:2013-05-04 Online:2013-12-25 Published:2013-12-25

Abstract:

In this paper, we discuss the inverse problem for diffusion operators on the finite interval [0, π] from interior spectral data and show that if coefficient h of the boundary condition is known a priori,  then the potentials (q, p) and coefficient H of the boundary condition can be uniquely determined by a set of values of eigenfunctions at some interior point and parts of two spectra.

Key words: Inverse problem, Diffusion operator, Potential, Uniqueness theorem, Eigenvalue

CLC Number: 

  • 34A55
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