A Mixed Problem with Integral Condition for a Parabolic System

Authors

Hacene Mecheri, Department of Mathematics and Informatics, LAMIS laboratory, University of Tebessa, AlgeriaFollow
Belgacem Rebiai, Department of Mathematics and Informatics, LAMIS laboratory, University of Tebessa, AlgeriaFollow

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

Recommended Citation

Mecheri, Hacene and Rebiai, Belgacem (2018) "A Mixed Problem with Integral Condition for a Parabolic System," Applied Mathematics & Information Sciences: Vol. 12: Iss. 4, Article 3.
DOI: http://dx.doi.org/10.18576/amis/120403
Available at: https://digitalcommons.aaru.edu.jo/amis/vol12/iss4/3