Regularized semigroups and systems of linear partial differential equations
Regularized semigroups of bounded semivariation.
Regularized semigroups of bounded semivariation.
Relation between the boundary point spectrum of a generator and of its adjoint.
In this paper we get some relations between the boundary point spectrum of the generator A of a C0-semigroup and the generator A* of the dual semigroup. This relations combined with the results due to Lyubich-Phong and Arendt-Batty, yield stability results on positive C0-semigroups.
Relatively tauberian resolvent operators.
Remarks on One-Parameter Subsemigroups of the Affine Group and Their Homo- and Isomorphisms.
Représentation d’un semigroupe d’opérateurs sur un espace par des noyaux. Remarques sur deux articles de S.E. Kuznetsov
Representation formulae for (C₀) m-parameter operator semigroups
Some general representation formulae for (C₀) m-parameter operator semigroups with rates of convergence are obtained by the probabilistic approach and multiplier enlargement method. These cover all known representation formulae for (C₀) one- and m-parameter operator semigroups as special cases. When we consider special semigroups we recover well-known convergence theorems for multivariate approximation operators.
Representation formulas for C-semigroups.
Representation formulas for integrated semigroups and sine families.
Representation of -semigroups of operators by a chronological integral.
Resolvent estimates for Schrödinger operators in L (R ) and the theory of exponentially bounded C-semigroups.
Resolvent positive operators and inhomogeneous boundary conditions
Riesz basis property of Timoshenko beams with boundary feedback control.
Robustness with respect to small time-varied delay for linear dynamical systems on Banach spaces
Under suitable conditions we prove the wellposedness of small time-varied delay equations and then establish the robust stability for such systems on the phase space of continuous vector-valued functions.
Semiflows and semigroups
Given a compact Hausdorff space and a strongly continuous semigroup of linear isometries of the Banach space of all complex-valued, continuous functions on , the semiflow induced by on is investigated. In the particular case in which is a compact, connected, differentiable manifold, a class of semigroups preserving the differentiable structure of is characterized.
Semigroup Analysis of Structured Parasite Populations
Motivated by structured parasite populations in aquaculture we consider a class of size-structured population models, where individuals may be recruited into the population with distributed states at birth. The mathematical model which describes the evolution of such a population is a first-order nonlinear partial integro-differential equation of hyperbolic type. First, we use positive perturbation arguments and utilise results from the spectral...
Semigroup approach to semilinear partial functional differential equations with infinite delay.
Semigroup commutators under differences.
Semigroup commutators under differences (II).
This is the second instalment of my previous paper with the same title, [1]. This paper consists of two different parts. The first part is devoted to improvements of the results developed in [1]. These improvements are described in section 0.1 below and developed in sections 1 to 5, and 9 to 10; they are in fact technically distinct from [1] and rely on a systematic use of microlocalisation in the context of Hörmander-Weyl calculus. These paragraphs can therefore be read quite independently from...