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A Mixed Problem with Integral Condition for a Parabolic System |
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PP: 689-698 |
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doi:10.18576/amis/120403
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Author(s) |
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Hacene Mecheri,
Belgacem Rebiai,
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Abstract |
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| 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. |
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