1. A simple regularization method for the ill-posed evolution equation
- Creator:
- Tuan, Nguyen Huy and Trong, Dang Duc
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- nonlinear parabolic problem, backward problem, semigroup of operators, ill-posed problem, and contraction principle
- Language:
- English
- Description:
- The nonhomogeneous backward Cauchy problem $$u_t +Au(t) = f(t),\quad u(T) = \varphi$$, where $A$ is a positive self-adjoint unbounded operator which has continuous spectrum and $f$ 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.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public