General stabilization of a thermoelastic systems with a boundary control of a memory type
DOI:
https://doi.org/10.24193/subbmath.2022.3.06Keywords:
Thermoelasticity, general decay, memory type, boundary damping, resolvent kernel.Abstract
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 −gt(t)/g(0) satisfies ktt(t) ≥ γ (t) (−kt(t))p, t ≥ 0, 1 < p < 3 . 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.
Received 22 October 2019; Accepted 21 January 2020.
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