Acta mathematica scientia,Series A ›› 2021, Vol. 41 ›› Issue (3): 740-761.

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Lipschitz Stability for a Transport Coefficient Inverse Problem of a Linearly Coupled Korteweg-de Vries System

Bin Wu*(),Qun Chen   

  1. School of Mathematics and Statistics, College of Science, Nanjing University of Information Science and Technology, Nanjing 210044
  • Received:2020-03-23 Online:2021-06-26 Published:2021-06-09
  • Contact: Bin Wu
  • Supported by:
    the NSFC(11601240)


This paper concerns an inverse problem of determining two spatially varying transport coefficients simultaneously in a linearly coupled Korteweg-de Vries (KdV) system with the first order terms. To obtain the stability result for the inverse problem with only one internal measurement data, we first prove a Carleman estimate including only one local integral for this coupled KdV system. Based on this Carleman estimate, we then obtain Lipschitz stability for the inverse problem under some priori information.

Key words: Carleman estimate, Coupled KdV system, Lipschitz stability, Coefficient inverse problem

CLC Number: 

  • O175.28