Compactness of the difference between the thermoviscoelastic semigroup and its decoupled semigroup

DOI10.1216/rmjm/1021477258zbMath0981.45004OpenAlexW1989187230MaRDI QIDQ5928723

Liu, Wei-Jiu

Publication date: 1 April 2001

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://math.la.asu.edu/~rmmc/rmj/VOL30-3/CONT30-3/CONT30-3.html

zbMATH Keywords

controllabilitystabilizationcompactnesslinear thermoviscoelasticitysemigroups of linear operatorssystem of linear integro-partial differential equations

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Linear constitutive equations for materials with memory (74D05) Systems of nonsingular linear integral equations (45F05)

Related Items (1)

Compact decoupling for an abstract system of thermoelasticity of type III

Cites Work

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• Semigroups of linear operators and applications to partial differential equations
• The exponential stabilization of the higher-dimensional linear system of thermoviscoelasticity
• Geometric theory of semilinear parabolic equations
• Adaptive nonlinear control without overparametrization
• Asymptotic stability in linear thermoviscoelasticity
• Controllability of the linear system of thermoelasticity
• An abstract Volterra equation with applications to linear viscoelasticity
• Asymptotic stability in viscoelasticity
• On the essential spectrum of a semigroup of thermoelasticity

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