Fourier multipliers and problems of elliptic and parabolic type

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Periodic solutions of second order differential equations in Banach spaces (2006, background): “Since large classes of classical operators are R-bounded (cf. Girardi-Weis [24] and the recent memoir of Denk, Hieber and Prüss [16]), the assumptions in this approach are not too restrictive for applications.”
Non-self-adjoint operators, infinite determinants, and some applications (2005, background): “classes of operators have been studied in, e.g., [34], [56, Chs. 1, 2]. We note that Lemma A.1 also follows from [10, Theorem 8.2] in the case of C2-domains Ω with compact boundary. This is proved in [10] by rather diﬀerent methods and can be viewed as a generalization of the classical result for bo”
A structurally damped plate equation with Dirichlet-Neumann boundary conditions (2015, methodology): “We give a short summary of these tools, for a more detailed exposition we refer to [10] and [22].”
Maximal Regularity for Non-autonomous Equations with Measurable Dependence on Time (2014, background): “Many differential operators on L -spaces with q ∈ (1, ∞) are known to have a bounded H∞-calculus (see [22, 62] and the survey [93]).”