Titlebook: Boundary Value Problems and Hardy Spaces for Elliptic Systems with Block Structure; Pascal Auscher,Moritz Egert Book 2023 The Editor(s) (i

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Critical Numbers and Kernel Bounds, not needed for the application to boundary value problems. However, it nicely illustrates the usefulness of our choice for the interval J?(.) compared to Auscher (Mem Am Math Soc 186(871):xviii+75, 2007) and connects with the theory of Gaussian estimates in the first chapter of Auscher and Tchamitc

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Existence in Dirichlet Problems with Fractional Regularity Data,ess that have been announced in Sect. .. We also compare them to what can be obtained by the general first-order approach (Amenta and Auscher, Elliptic Boundary Value Problems with Fractional Regularity Data. American Mathematical Society, Providence, 2018) when specialized to elliptic systems in bl

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Low-Power Crystal and MEMS OscillatorsIn this introductory chapter we provide an overview on the general themes of our monograph. We describe in detail how the study of elliptic systems in block form on the upper half-space is inseparably tied to operator theoretic properties of a sectorial operator . acting on the boundary.

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Power Dissipation in Digital CMOS Circuits,This chapter contains all necessary background on function spaces that will be used later on.

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UPF Based Power Aware Static Verification,In this chapter, we define the four numbers that rule the functional calculus properties of our elliptic operators and that will help us to describe the ranges of well-posedness of our boundary value problems. We study intrinsic relations between these numbers, using the machinery developed in Chap. ..