A modified quasi-boundary value method for ill-posed problems

  • Denche M
  • Bessila K
  • 2

    Readers

    Mendeley users who have this article in their library.
  • 78

    Citations

    Citations of this article.

Abstract

In this paper, we study a final value problem for first order abstract differential equation with positive self-adjoint unbounded operator coefficient. This problem is ill-posed. Perturbing the final condition we obtain an approximate nonlocal problem depending on a small parameter. We show that the approximate problems are well posed and that their solutions converge if and only if the original problem has a classical solution. We also obtain estimates of the solutions of the approximate problems and a convergence result of these solutions. Finally, we give explicit convergence rates. © 2004 Elsevier Inc. All rights reserved.

Author-supplied keywords

  • Final value problem
  • Ill-posed problem
  • Quasi-boundary value problem
  • Quasireversibility methods

Get free article suggestions today

Mendeley saves you time finding and organizing research

Sign up here
Already have an account ?Sign in

Find this document

Authors

  • M. Denche

  • K. Bessila

Cite this document

Choose a citation style from the tabs below

Save time finding and organizing research with Mendeley

Sign up for free