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Energy decay of solutions for a wave equation with a constant weak delay and a weak internal feedback

2014; University of Szeged; Issue: 11 Linguagem: Inglês

10.14232/ejqtde.2014.1.11

1417-3875

Abbès Benaissa, Salim A. Messaoudi, Aissa Benguessoum,

Advanced Mathematical Physics Problems

In this paper, we consider the wave equation with a weak internal constant delay term: u 00 (x, t) Dxu(x, t) + m1(t) u 0 (x, t) + m2(t) u 0 (x, t t) = 0 in a bounded domain. Under appropriate conditions on m1 and m2, we prove global existence of solutions by the Faedo-Galerkin method and establish a decay rate estimate for the energy using the multiplier method.