Some inverse problems for strong parabolic systems

  • A. Ya. Akhundov

Abstract

The questions of well-posedness and approximate solution of inverse problems of finding unknown functions on the right-hand side of a system of parabolic equations are investigated. For the problems considered, theorems on the existence, uniqueness, and stability of a solution are proved and examples that show the exactness of the established theorems are given. Moreover, on the set of well-posedness, the rate of convergence of the method of successive approximations suggested for the approximate solution of the given problems is estimated.
Published
25.01.2006
How to Cite
Akhundov, A. Y. “Some Inverse Problems for Strong Parabolic Systems”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 58, no. 1, Jan. 2006, pp. 115–124, https://umj.imath.kiev.ua/index.php/umj/article/view/3438.
Section
Short communications