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Strong solution for a mixed problem with nonlocal condition for certain pluriparabolic equations. (English) Zbl 0893.35061

Summary: The present paper is devoted to a proof of the existence and uniqueness of a strong solution for a mixed problem with nonlocal condition for certain pluriparabolic equations. The proof is based on an a priori estimate and on the density of the range of the operator generated by the studied problem.

MSC:

35K70 Ultraparabolic equations, pseudoparabolic equations, etc.
35B45 A priori estimates in context of PDEs
35A05 General existence and uniqueness theorems (PDE) (MSC2000)
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