Elastic membrane equation with dynamic boundary conditions and infinite memory

Ahlem Merah; Fatiha Mesloub

doi:10.5269/bspm.47621

Ahlem Merah Larbi Tebessi University
Fatiha Mesloub Larbi Tebessi University

Abstract

In this paper, we study the elastic membrane equation with dynamic boundary conditions, source term and a nonlinear weak damping localized on a part of the boundary and past history. Under some appropriate assumptions on the relaxation function the general decay for the energy have been established using the perturbed Lyapunov functionals and some properties of convex functions.

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References

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