Special Session 169: Inverse problems arising in partial differential equations and mathematical physics

Convergence analysis for a coefficient identification problem
Wensheng Zhang Zhang
Academy of Mathematics and Systems Science, Chinese Academy of Sciences
Peoples Rep of China
Co-Author(s):    Huimin Huang
Abstract:
In this talk, we consider the convergence rate for Tikhonov regularization of the problem of identifying the coefficient in acoustic wave equation in the frequency-domain. We assume that the imprecise measurement data in a subdomain is known with a measurement error of level. First we propose to regularize this coefficient identification problem by minimizing a special functional. Then the characters of the functional are investigated. Finally, we obtain the convergence rate for the Tikhonov regularized solution under an easily satisfied source condition.