ESTIMATIONS OF CLASSICAL SOLUTION OF QUASI-INVERSE PROBLEM

Abstract

In [1], the authors established a prior estimation for the solution of quasi-inverse problem. In this paper, we get some estimations of the classical solution of the same problem from series representation of solution [10]. Also we establish a prior estamation of solution of higher order than that one in [1]. Our results play an important role in optimal control theory. Many works were devoted to this problem and the control problem of heat conduction with the inverse direction of time and integral boundary conditions. [2, 3, 4, 5, 6, 7, 8, 9, 11].