A simple regularization method for the ill-posed evolution equation

Title:

A simple regularization method for the ill-posed evolution equation

Creator:

Tuan, Nguyen Huy and Trong, Dang Duc

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:9e667dae-82ba-4d6c-ad3e-3c5efa73d9dc
uuid:9e667dae-82ba-4d6c-ad3e-3c5efa73d9dc

Subject:

nonlinear parabolic problem, backward problem, semigroup of operators, ill-posed problem, and contraction principle

Type:

model:article and TEXT

Format:

bez média and svazek

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.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

85-95

Source:

Czechoslovak Mathematical Journal | 2011 Volume:61 | Number:1

Harvested from:

CDK

Metadata only:

false