A nonhomogeneous backward heat problem: regularization and error estimates.
A simple regularization method for the ill-posed evolution equation
The nonhomogeneous backward Cauchy problem , where is a positive self-adjoint unbounded operator which has continuous spectrum and is a given function being given is regularized by the well-posed problem. New error estimates of the regularized solution are obtained. This work extends earlier results by N. Boussetila and by M. Denche and S. Djezzar.
On an initial inverse problem in nonlinear heat equation associated with time-dependent coefficient
In this paper, a nonlinear backward heat problem with time-dependent coefficient in the unbounded domain is investigated. A modified regularization method is established to solve it. New error estimates for the regularized solution are given under some assumptions on the exact solution.
Regularization and error estimates for nonhomogeneous backward heat problems.
Stabilized quasi-reversibility method for a class of nonlinear ill-posed problems.
Remarks on a 2-D nonlinear backward heat problem using a truncated Fourier series method.
A quasi-boundary value method for regularizing nonlinear ill-posed problems.
A final value problem for heat equation: regularization by truncation method and new error estimates.
Regularization and new error estimates for a modified Helmholtz equation.
Page 1