Inverse source problem for Sobolev equation with observed data in Lb spaces

By Le Dinh Long, Danh Hua Quoc Nam, Vo Ngoc Minh, Bui Dai Nghia
DOI: 10.37550/tdmu.EJS/2023.05.425

In this paper, we are interested in the problem of determining the source function forthe
Sobolev equation with fractional Laplacian. This problem is non-well-posed. We show theerror
estimate between the exact solution and the regularized solution with the observed data in Lb
spaces.