A Regularization of the Backward Problem for Nonlinear Parabolic Equation with Time-Dependent Coefficient

الملخص EN

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.