It is a well-established empirical fact that economic growth and development brings about major changes in sectorial output, employment, and consumption structure. In the context of economic development discussion, structural change refers to the change in key components of macroeconomic indicators, including national production and expenditure, exports and imports, population, and the sectoria...

In this work, we show that a strongly continuous semigroup generated by a normal operator N is conjugate to the semigroup generated by the real part of N , provided zero is not an eigenvalue of the real part of N . We also show that in case N satisfies a certain sectorial property, the homeomorphism establishing the conjugacy, as well as its inverse, is locally Hölder continuous. Moreover, in c...

The article is devoted to the mathematical analysis of a fluid-structure interaction system where fluid compressible and heat conducting structure deformable located on part boundary domain. motion modeled by Navier-Stokes-Fourier displacement described structurally damped plate equation. Our main results are existence strong solutions in an $L^p-L^q$ setting for small time or data. Through cha...

We present a survey of recent applications of interpolation ideas in the study of sectorial operators.

We prove that time evolution of a linear analytic initial value problem leads to sectorial holomorphic solutions in time.

We prove that a sectorial operator admits an H∞functional calculus if and only if it has a functional model of NagyFoiaş type. Furthermore, we give a concrete formula for the characteristic function (in a generalized sense) of such an operator. More generally, this approach applies to any sectorial operator by passing to a different norm (the McIntosh square function norm). We also show that th...

La ecoendoscopia sectorial es una técnica muy segura con una gran precisión diagnóstica no alcanzable por otras exploraciones utilizadas en la estadificación de distintos tumores del tracto digestivo y órganos vecinos. Permite la realización de punción aspiración con aguja fina con obtención de material para estudio histológico, además de facilitar la realización de numerosas maniobras terapéut...

If A,B are sectorial operators on a Hilbert space with the same domain and range, and if �Ax� ≈ �Bx� and �A−1x� ≈ �B−1x�, then it is a result of Auscher, McIntosh and Nahmod that if A has an H ∞−calculus then so does B. On an arbitrary Banach space this is true with the additional hypothesis on B that it is almost R-sectorial as was shown by the author, Kunstmann and Weis in a recent preprint. ...

In this note, we establish the sectorial property of the Caputo fractional derivative operator of order α ∈ (1, 2) with a zero Dirichlet boundary condition.