Abstract. A pluriparabolic problem which combines a classical and a nonlocal constraint is considered. The existence and uniqueness of a generalized solution are proved. We use a functional analysis method based on a two a priori estimates and on the density of the range of the operator generated by the considered problem.
AMS Subject Classification
Received March 30, 2000, and in revised form July 8, 2000. (Registered under 2781/2009.)