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Analyticity of thermoelastic plates with dynamical boundary conditions 被引量:5

Analyticity of thermoelastic plates with dynamical boundary conditions
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摘要 We consider a thermoelastic plate with dynamical boundary conditions. Using the contradictionargument of Pazy's well-known analyticity criterion and P.D.E. estimates, we prove that the corresponding C0semigroup is analytic, hence exponentially stable. We consider a thermoelastic plate with dynamical boundary conditions. Using the contradiction argument of Pazy’s well-known analyticity criterion and P.D.E. estimates, we prove that the correspondingC 0 semigroup is analytic, hence exponentially stable.
作者 张琼 黄发伦
出处 《Science China Mathematics》 SCIE 2003年第5期631-640,共10页 中国科学:数学(英文版)
基金 This work was supported by the National Natural Science Foundation of China(Grant No.10071079).
关键词 THERMOELASTICITY C 0 semigroup ANALYTICITY exponential stability thermoelasticity, Co semigroup, analyticity, exponential stability.
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  • 1K. Liu,Z. Liu.Exponential stability and analyticity of abstract linear thermoelastic systems[J].Zeitschrift für angewandte Mathematik und Physik.1997(6)
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  • 4Russell,D. L.A general framework for the study of indirect damping mechanisms in elastic systems, J.Math[].Anal Appl.1993

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