Convergence rates for Tikhonov regularization of a coefficient identification problem

• Published in: Journal of inverse and ill-posed problems Vol. 33; no. 4; pp. 497 - 513
• Main Authors: Huang, Huimin, Zhang, Wensheng
• Format: Journal Article
• Language: English
• Published: Berlin De Gruyter 01.08.2025; Walter de Gruyter GmbH
• Subjects: 35L05; 35R25; 35R30; 47A52; 49N45; Acoustic waves; Boundary conditions; Coefficient identification; Convergence; convergence rate; functional; Regularization; Tikhonov solution; wave equation; Wave equations

This paper investigates the convergence rates for Tikhonov regularization of the problem for identifying the coefficient in the frequency-domain acoustic wave equation in general dimensional spaces; here , , and . We assume that we know the imprecise measurement data of 𝑢 in the subdomain with a mea...