Absorption semigroups and Dirichlet boundary conditions.
Abstract formulation of an age-physiology dependent population dynamics problem
Abstract methods in differential equations.
This is an expanded version, enriched by references, of my inaugural speech held on November 7, 2001 at the Real Academia de Ciencas Exactas, Físicas y Naturales in Madrid. It explains in a nontechnical way, accessible to a general scientific community, some of the motivation and basic ideas of my research of the last twenty years on a functional-analytical approach to nonlinear parabolic problems.
Abstract multiplication semigroups.
Abstract semilinear equations in Banach spaces
Si studiano le proprietà delle soluzioni dell'equazione semilineare astratta quando è il generatore infinitesimale di un semigruppo analitico in uno spazio di Banach. Vengono provati nuovi teoremi di regolarità anche nel caso in cui non è continuo in tutto lo spazio.
Addendum to "On product formulas for exponential functions".
Additive and superadditive local theorems
Adjoint bi-continuous semigroups and semigroups on the space of measures
For a given bi-continuous semigroup on a Banach space we define its adjoint on an appropriate closed subspace of the norm dual . Under some abstract conditions this adjoint semigroup is again bi-continuous with respect to the weak topology . We give the following application: For a Polish space we consider operator semigroups on the space of bounded, continuous functions (endowed with the compact-open topology) and on the space of bounded Baire measures (endowed with the weak-topology)....
Adjoints of solution semigroups and identifiability of delay differential equations in Hilbert spaces.
Admissibilité de l'observation pour des systèmes bilinéaires contrôlés par des opérateurs non bornés
Admissible and regular potentials for positive Co-semigroups and application to heat semigroups.
Admissible initial operators for superpositions of right invertible operators
Algebraic reflexivity for semigroups of operators.
Algebraic sum of unbounded normal operators and the square root problem of Kato
Almost automorphic functions with values in -Fréchet spaces.
Almost automorphic mild solutions to some semilinear abstract differential equations with deviated argument in Fréchet spaces.
Almost automorphy of semilinear parabolic evolution equations.
Almost periodic and strongly stable semigroups of operators
This paper is chiefly a survey of results obtained in recent years on the asymptotic behaviour of semigroups of bounded linear operators on a Banach space. From our general point of view, discrete families of operators on a Banach space X (discrete one-parameter semigroups), one-parameter -semigroups on X (strongly continuous one-parameter semigroups), are particular cases of representations of topological abelian semigroups. Namely, given a topological abelian semigroup S, a family of bounded...
Almost periodic solutions of higher order differential equations on Hilbert spaces.
Almost periodicity of C-semigroups, integrated semigroups and C-cosine functions
We investigate the characterization of almost periodic C-semigroups, via the Hille-Yosida space Z₀, in case of R(C) being non-dense. Analogous results are obtained for C-cosine functions. We also discuss the almost periodicity of integrated semigroups.