BOUNDARY CONTROL FOR HEAT EQUATION UNDER CONJUGATION CONDITIONS

Abstract

In this paper, new problems concerned with boundary control for cooperative Dirichlet or Neumann parabolic systems with conjugation conditions in the presence of con-centrated heat capacity are considered. Such systems with observation under conjugationconditions are described. First, the existence and uniqueness of the state process for 2×2 systems is proved,then the set of equations and inequalities that characterizes the boundarycontrol is obtained. The case of n×n cooperative systems is also established.