Electronic Journal of Differential Equations,
Vol. 2001(2001), No. 21, pp. 1-16.

Title: On the solvability of nonlocal pluriparabolic problems
        
Author: Abdelfatah Bouziani (Univ. Larbi Ben M'hidi-Oum El Bouagui, Algerie)
         
Abstract: 
 The aim of this paper is to prove existence, uniqueness, and continuous
 dependence upon the data of solutions to mixed problems for 
 pluriparabolic equations with nonlocal boundary conditions. 
 The proofs are based on a priori estimates established in non-classical
 function spaces and on the density of the range of the operator 
 generated by the studied problems.
  
Submitted December 4, 2000. Published March 26, 2001.
Math Subject Classifications: 35K70, 35B45, 46E30, 35D05, 35B30.
Key Words: Pluriparabolic equation; nonlocal boundary conditions;
   a priori estimate; nonclassical function space; generalized solution.