A regularization of the backward problem for nonlinear parabolic equation with time-dependent coefficient
Summary: We study the backward problem with time-dependent coefficient which is a severely ill-posed problem. We regularize this problem by combining quasi-boundary value method and quasi-reversibility method and then obtain sharp error estimate between the exact solution and the regularized solution. A numerical experiment is given in order to illustrate our results.
scientific article; zbMATH DE number 6116557
scientific article