Geodesic
On the solvability of nonlocal pluriparabolic problems
Electronic Journal of Differential Equations, Tome 2001 (2001).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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.
Classification : 35K70, 35B45, 46E30, 35D05, 35B30
Keywords: pluriparabolic equation, nonlocal boundary conditions, a priori estimate, nonclassical function space, generalized solution 
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     author = {Bouziani, Abdelfatah},
     title = {On the solvability of nonlocal pluriparabolic problems},
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Bouziani, Abdelfatah. On the solvability of nonlocal pluriparabolic problems. Electronic Journal of Differential Equations, Tome 2001 (2001). http://geodesic.mathdoc.fr/item/EJDE_2001__2001__a136/