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, South Ural State University
Cand. Sc. (Physics and Mathematics), Associate Professor, Functional Analysis Department
Leonid Davidovich Menikhes, South Ural State University
Dr. Sc. (Physics and Mathematics), Professor, Head of Functional Analysis Department
Aleksandr Dmitrievich Drozin, South Ural State University
Dr. Sc. (Engineering), Professor, Head of the Mathematical Analysis Department, Head of the Faculty of Mathematics and Mechanics
