This paper studies two problems of exact controllability of semilinear
parabolic equations. In the first, the control is on the right-hand s
ide of the parabolic equation and distributed over an arbitrary subdom
ain omega of the domain Omega. In the second, the control is contained
in the boundary conditions and distributed over a subdomain Gamma(o)
of the boundary partial derivative Omega. If the original data satisfy
certain conditions, then both problems are solvable.