Problem of determining the speed of sound and the memory of an anisotropic medium
Askar RahmonovBukhara Branch of the Institute of Mathematics, Academy of Sciences of the Republic of Uzbekistan, Bukhara, UzbekistanD. K. DurdievBukhara Branch of the Institute of Mathematics, Academy of Sciences of the Republic of Uzbekistan, Bukhara, UzbekistanZavqiddin BozorovBukhara Branch of the Institute of Mathematics, Academy of Sciences of the Republic of Uzbekistan, Bukhara, Uzbekistan
ABI
Abstract
We consider the inverse problems of simultaneously determining two unknowns: the wave propagation velocity and the memory of a layered medium. To find them, we use the data of two observed fluctuations on the domain boundary. Estimates of the solution stability and uniqueness theorems for the considered problems are the main results.