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
(1991): 35K70
Keyword(s):
pluriparabolic equation,
Integral condition,
generalized solution
Received March 30, 2000, and in revised form July 8, 2000. (Registered under 2781/2009.)
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