ACTA issues

On a nonlocal problem for a pluriparabolic equation

Said Mesloub

Acta Sci. Math. (Szeged) 67:1-2(2001), 203-219

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.)