A semigroup-theoretic proof of Poisson's limit law.
A sharp result on the exponential operator-norm decay of a family of strongly continuous semigroups.
A simple proof of the Poincaré inequality for a large class of probability measures.
A spectral mapping theorem for evolution semigroups on asymptotically almost periodic functions defined on the half line.
A spectral mapping theorem for perturbed strongly continuous semigroups.
A spectral mapping theorem for semigroups solving PDEs with nonautonomous past.
A spectrality condition for infinitesimal generators of cosine operator functions
A stability theorem of the Navier-Stokes flow past a rotating body
In this paper, a stability theorem of the Navier-Stokes flow past a rotating body is reported. Concerning the linearized problem, the proofs of the generation of a C₀ semigroup and its decay properties are sketched.
A stochastic model of symbiosis
We consider a system of stochastic differential equations which models the dynamics of two populations living in symbiosis. We prove the existence, uniqueness and positivity of solutions. We analyse the long-time behaviour of both trajectories and distributions of solutions. We give a biological interpretation of the model.
A stochastic symbiosis model with degenerate diffusion process
We present a model of symbiosis given by a system of stochastic differential equations. We consider a situation when the same factor influences both populations or only one population is stochastically perturbed. We analyse the long-time behaviour of the solutions and prove the asymptoptic stability of the system.
A structure theory for isometric representations of a class of semigroups.
A study of boundary value problem for an elliptic equation in Hölder spaces.
A sufficient condition for a group of homeomorphisms to be affine.
A sufficient condition for the Carasso-Kato theorem.
A sufficient condition for the Carasso-Kato theorem (Erratum).
A symbolic calculus and a parametrix construction for pseudodifferential operators with non-smooth negative definite symbols.
A theorem of Rolewicz's type for measurable evolution families in Banach spaces.
A universal property of -semigroups
Let be a -semigroup with unbounded generator . We prove that has generically a very irregular behaviour for as .
A viability result for nonconvex semilinear functional differential inclusions
We establish some sufficient conditions in order that a given locally closed subset of a separable Banach space be a viable domain for a semilinear functional differential inclusion, using a tangency condition involving a semigroup generated by a linear operator.
Abelian ergodic theorems for contraction semigroups