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Authors: NESRINE SEMCHEDINE, HAMID BENSERIDI, SALAH DRABLA.
DOI: 10.24193/subbmath.2022.3.06
Published Online: 2022-09-20
Published Print: 2022-09-30
pp. 533-544
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In this paper we consider an n-dimensional thermoelastic system, in a bounded domain, where the memory-type damping is acting on a part of the boundary and where the resolvent kernel k of -g’(t)/g(0) satisfies k’’(t) ≥ γ(t) (-k’(t))p, t ≥ 0, 1 < p < 3/2. We establish a general decay result, from which the usual exponential and polynomial decay rates are only special cases. This work generalizes and improves earlier results in the literature.
Mathematics Subject Classification (2010) : 35B35, 35L55, 74D05.
Keywords: Thermoelasticity, general decay, memory type, boundary damping, resolvent kernel.
