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Faculty Works of Ruben Hayrapetyan
Article
Continuous regularization of nonlinear ill-posed problems
arXiv (1999)
  • Ruben Hayrapetyan, Kettering University
  • Alexander G. Ramm
  • A. Smirnova
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Abstract
A general method for solving nonlinear ill-posed problems is developed. The method consists of solving a Cauchy problem with a regularized operator and proving that the solution of this problem tends, as time grows, to a solution of the original nonlinear stationary problem. Examples of applications of the general method are given. Convergence theorems are proved.
Disciplines
Publication Date
December 27, 1999
Publisher Statement
Cornell University
Citation Information
Ruben Hayrapetyan, Alexander G. Ramm and A. Smirnova. "Continuous regularization of nonlinear ill-posed problems" arXiv (1999) ISSN: 2331-8422
Available at: http://works.bepress.com/ruben-hayrapetyan/54/