Exponential dichotomy for evolution families on the real line.
Exponential dichotomy of evolutionary processes in Banach spaces
Exponential formula for one-time integrated semigroups.
Exponential stability for periodic evolution families of bounded linear operators.
Exponential stability of linear and almost periodic systems on Banach spaces.
Exponential-cosine operator-valued functional equation in the strong operator topology.
Extension of multiplicative families of isometries. (Extensión de familias multiplicativas de isometrías.)
Extrapolation methods to solve non-autonomous retarded partial differential equations
Using extrapolation spaces introduced by Da Prato-Grisvard and Nagel we prove a non-autonomous perturbation theorem for Hille-Yosida operators. The abstract result is applied to non-autonomous retarded partial differential equations.
Extremal properties of contraction semigroups on c0 .
Fat equicontinuous groups of homeomorphisms of linear topological spaces and their application to the problem of isometries in linear metric spaces
Feller semigroups and degenerate elliptic operators with Wentzell boundary conditions
This paper is devoted to the functional analytic approach to the problem of construction of Feller semigroups with Wentzell boundary conditions in the characteristic case. Our results may be stated as follows: We can construct Feller semigroups corresponding to a diffusion phenomenon including absorption, reflection, viscosity, diffusion along the boundary and jump at each point of the boundary.
Feller semigroups obtained by variable order subordination.
Fermeture des opérateurs dissipatifs invariants.
Fine scales of decay of operator semigroups
Motivated by potential applications to partial differential equations, we develop a theory of fine scales of decay rates for operator semigroups. The theory contains, unifies, and extends several notable results in the literature on decay of operator semigroups and yields a number of new ones. Its core is a new operator-theoretical method of deriving rates of decay combining ingredients from functional calculus and complex, real and harmonic analysis. It also leads to several results of independent...
Finite propagation speed and kernels of strictly elliptic operators.
Finite rank, relatively bounded perturbations of semigroups generators
Fonctionnelles multiplicatives opératrices
Fonctions cosinus hilbertiennes bornées dans les groupes commutatifs localement compacts
Forms, functional calculus, cosine functions and perturbation
In this article we describe properties of unbounded operators related to evolutionary problems. It is a survey article which also contains several new results. For instance we give a characterization of cosine functions in terms of mild well-posedness of the Cauchy problem of order 2, and we show that the property of having a bounded -calculus is stable under rank-1 perturbations whereas the property of being associated with a closed form and the property of generating a cosine function are not....
Formulae for joint spectral radii of sets of operators
The formula is proved for precompact sets M of weakly compact operators on a Banach space. Here ϱ(M) is the joint spectral radius (the Rota-Strang radius), is the Hausdorff spectral radius (connected with the Hausdorff measure of noncompactness) and r(M) is the Berger-Wang radius.