On Solving an Inverse Boundary Problem for a Parabolic Equation by the Quasi-Revesibility Method

Authors

  • Elena Vladimirovna Tabarintseva Author
  • Leonid Davidovich Menikhes Author
  • Aleksandr Dmitrievich Drozin Author

Abstract

An inverse boundary problem for a parabolic equation is analyzed in the article. For the stable approximate solutions of the given problem the quasi-reversibility method is used. It consists in changing the original problem with a problem for hyperbolic equation with a small parameter. A sharp order error estimation of the method at one of the uniform regularization set is obtained.

Author Biographies

  • Elena Vladimirovna Tabarintseva
    Cand. Sc. (Physics and Mathematics), Associate Professor, Functional Analysis Department
  • Leonid Davidovich Menikhes
    Dr. Sc. (Physics and Mathematics), Professor, Head of Functional Analysis Department
  • Aleksandr Dmitrievich Drozin
    Dr. Sc. (Engineering), Professor, Head of the Mathematical Analysis Department, Head of the Faculty of Mathematics and Mechanics

Published

2012-04-11

Issue

2012: № 11(270), issue 6

Section

Mathematics