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• W2085755572 abstract "We show herein the uniform stability of a thermoelastic plate model with no added dissipative mechanism on the boundary(uniform stability of a thermoelastic plate with added boundary dissipation was shown in [3], as was that of the analytic case where rotational forces are negleted in [9]); both the analytic and nonanalytic cases are treated here. The proof is constructive in the sense that we make use of a multiplier with respect to the coupled system involved so as to generate a fortiori the desired estimates; this multiplier is of an operator theoretic nature, as opposed to the more standard differential quantities used for such work. Moreover, the particular choice of multiplier becomes clear only after recasting the pde model into an associated abstract evolution equation. With this direct technique, we also obtain an exponential stability estimate pertaining to the limit case in which rotational inertia is neglected, and which leads to an associated analytic semigroup." @default.
• W2085755572 created "2016-06-24" @default.
• W2085755572 creator A5059277168 @default.
• W2085755572 creator A5066914728 @default.
• W2085755572 date "1998-02-01" @default.
• W2085755572 modified "2023-10-11" @default.
• W2085755572 title "Exponential stability of an uncontrolled thermoelastic system with varying boundary conditions^*" @default.
• W2085755572 cites W1963724113 @default.
• W2085755572 cites W1984113060 @default.
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• W2085755572 doi "https://doi.org/10.1080/00036819808840620" @default.
• W2085755572 hasPublicationYear "1998" @default.
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