Exponential Stability of the Heat Equation with Boundary Time-Varying Delays

In this paper, we consider the heat equation with a time-varying delays term in the boundary condition in a bounded domain of Rn, the boundary Γ is a class C2 such that Γ = ΓD∪ΓN, with ΓD∩ ΓN = ∅, ΓD 6= ∅ and ΓN 6= ∅. Well-posedness of the problems is analyzed by using semigroup theory. The exponent...

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Bibliographic Details
Main Authors: Mouataz Billah Mesmouli, Abdelouaheb Ardjouni, Ahcene Djoudi
Format: Article
Language:English
Published: Etamaths Publishing 2016-04-01
Series:International Journal of Analysis and Applications
Online Access:http://etamaths.com/index.php/ijaa/article/view/707