Stability inverse problem for diffusion operators

E. S. Panakhov, A. Ercan

In this study, the certain stability problem is studied for diffusion equation by special method on a finite interval. The method which used was given firstly by Ryabushko for Sturm-Liouville problem in [23]. There are many different stability criteria. In practice, any one of a number of different stability criteria is applied. The stability of spectral functions has been shown by using the asymptotics of the eigenvalues for diffusion problems with different initial conditions in this work. Also, we introduce the notion of norming constants and establish their interrelation with the spectra. 

Tbilisi Mathematical Journal, Special Issue (IECMSA-2019), pp. 99-109