Results 31 to 40 of about 366 (188)
Eventual ideal properties of the Riemann-Liouville analytic semigroup
In this paper, we revisit the Riemann–Liouville analytic semigroup. In particular, we completely characterize the membership in the Schatten class Sr ${\mathcal{S}}^{r}$ on L 2(0, 1), as well as the membership in the class of nuclear operators on L p(0,
Al Alam Ihab +4 more
doaj +1 more source
A note on the spectral operators of scalar type and semigroups of bounded linear operators
It is shown that, for the spectral operators of scalar type, the well-known characterizations of the generation of C0- and analytic semigroups of bounded linear operators can be reformulated exclusively in terms of the spectrum of such operators, the ...
Marat V. Markin
doaj +1 more source
An Analytical Criterion for the Local Finiteness of a Countable Semigroup
versio 4, 5 ...
openaire +3 more sources
Composition of Fractional Integral and Derivative Operators: Summarised in Tables
ABSTRACT This paper compiles a complete, detailed list of composition properties for Riemann–Liouville fractional differintegrals, in all possible cases for orders anywhere in the complex plane, with the results presented clearly in a table for easy visual consumption.
Arran Fernandez
wiley +1 more source
Higher representation stability for ordered configuration spaces
Abstract Using factorization homology with coefficients in twisted commutative algebras (TCAs), we prove two flavors of higher representation stability for the cohomology of (generalized) configuration spaces of a scheme/topological space X$X$. First, we provide an iterative procedure to study higher representation stability using actions coming from ...
Quoc P. Ho
wiley +1 more source
Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic
ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
wiley +1 more source
Numerical Approach of a Porous Thermoelastic Problem With Microtemperatures and Fading Memory
ABSTRACT In this work, we study, from the numerical point of view, a porous thermoelastic problem with microtemperatures, where the thermal evolution is influenced by the history of both the temperature and microtemperatures. This leads to a coupled system of partial integro‐differential equations.
Noelia Bazarra +3 more
wiley +1 more source
Extremal rate of convergence in continuous dynamics
Abstract This paper deals with semigroups of holomorphic self‐maps of the upper half‐plane that exhibit an extremal (i.e., the slowest possible) rate of convergence to their Denjoy–Wolff point. The main novelty lies in the parabolic case of zero hyperbolic step.
Francisco J. Cruz‐Zamorano +1 more
wiley +1 more source
Mild Solutions to the Cauchy Problem for Some Fractional Differential Equations with Delay
In this paper, we present new existence theorems of mild solutions to Cauchy problem for some fractional differential equations with delay. Our main tools to obtain our results are the theory of analytic semigroups and compact semigroups, the Kuratowski ...
Jin Liang, Yunyi Mu
doaj +1 more source
Abstract We develop a delay‐aware estimation and control framework for a non‐isothermal axial dispersion tubular reactor modelled as a coupled parabolic‐hyperbolic PDE system with recycle‐induced state delay. The infinite‐dimensional dynamics are preserved without spatial discretization by representing the delay as a transport PDE and adopting a late ...
Behrad Moadeli, Stevan Dubljevic
wiley +1 more source

