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Author Country (or Countries)

Algeria

Abstract

In this paper, we use a functional analysis approach to prove the well-posedness for a parabolic system with a boundary Neumann condition and a nonlocal integral condition. The last step, is to establish the density of the range R(L) in the Hilbert space H, and hence the existence of a strong solution of the problem. The proof is mainly based on some a priori bounds and on some density arguments.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/120403

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