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• W2964233104 abstract "In this paper, we provide a complete regularity analysis for the following abstract system of coupled hyperbolic and parabolic equations{utt=−Au+γAαw,wt=−γAαut−kAβw,u(0)=u0,ut(0)=v0,w(0)=w0, where A is a self-adjoint, positive definite operator on a complex Hilbert space H, and (α,β)∈[0,1]×[0,1]. We are able to decompose the unit square of the parameter (α,β) into three parts where the semigroup associated with the system is analytic, of specific order Gevrey classes, and non-smoothing, respectively. Moreover, we will show that the orders of Gevrey class is sharp, under proper conditions." @default.
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• W2964233104 date "2015-11-01" @default.
• W2964233104 modified "2023-10-18" @default.
• W2964233104 title "Regularity analysis for an abstract system of coupled hyperbolic and parabolic equations" @default.
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• W2964233104 doi "https://doi.org/10.1016/j.jde.2015.06.010" @default.
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