Holomorphic semigroups in interpolation and extrapolation spaces.
Holomorphic semigroups of holomorphic isometries
A previous paper was devoted to the construction of non-trivial holomorphic families of holomorphic isometries for the Carathéodory metric of a bounded domain in a complex Banach space, fixing a point in the domain. The present article shows that such a family cannot exist if it contains a strongly continuous one parameter semigroup.
Homogenization of a Periodic Parabolic Cauchy Problem in the Sobolev Space H1 (ℝd)
In L2(ℝd; ℂn), we consider a wide class of matrix elliptic second order differential operators ε with rapidly oscillating coefficients (depending on x/ε). For a fixed τ > 0 and small ε > 0, we find approximation of the operator exponential exp(− ετ) in the (L2(ℝd; ℂn) → H1(ℝd; ℂn))-operator norm with an error term of order ε. In this approximation, the corrector is taken...
Hyperbolic evolution semigroups on vector valued function spaces.
Hypercontractivity for perturbed diffusion semigroups
Hypercyclic, topologically mixing and chaotic semigroups on Banach spaces
Our aim in this paper is to prove that every separable infinite-dimensional complex Banach space admits a topologically mixing holomorphic uniformly continuous semigroup and to characterize the mixing property for semigroups of operators. A concrete characterization of being topologically mixing for the translation semigroup on weighted spaces of functions is also given. Moreover, we prove that there exists a commutative algebra of operators containing both a chaotic operator and an operator which...
Hypercyclicity of Semigroups is a Very Unstable Property
Hypercyclicity of C0-semigroups is a very unstable property: We give examples to show that adding arbitrary small constants or a bounded rank one operator to the generator of a hypercyclic semigroup can destroy hypercyclicity. Also the limit of hypercyclic semigroups (even in operator norm topology) need not be hypercyclic, and a hypercyclic semigroup can be the limit of nonhypercyclic ones. Hypercyclicity is not inherited by the Yosida approximations. Finally, the restriction of a hypercyclic...
Ideals in algebras of unbounded operators
Ideal-triangularizability of upward directed sets of positive operators.
Identification and estimation of parameters in abstract Cauchy problems.
Ill-posed Abstract Volterra Equations
Image of under the Hermite semigroup.
Images of some functions and functional spaces under the Dunkl-Hermite semigroup
We propose the study of some questions related to the Dunkl-Hermite semigroup. Essentially, we characterize the images of the Dunkl-Hermite-Sobolev space, and , , under the Dunkl-Hermite semigroup. Also, we consider the image of the space of tempered distributions and we give Paley-Wiener type theorems for the transforms given by the Dunkl-Hermite semigroup.
Impulsive perturbation of C₀-semigroups and stochastic evolution inclusions
In this paper, we consider a class of infinite dimensional stochastic impulsive evolution inclusions. We prove existence of solutions and study properties of the solution set. It is also indicated how these results can be used in the study of control systems driven by vector measures.
Indépendance des fréquences par rapport aux solutions quasi- periodiques de certaines équations d'evolution non linéaires.
Individual boundedness condition for positive definite sesquilinear form valued kernels
Individual stability of Co-semigroups with uniformly bounded local resolvent.
Induced contraction semigroups and random ergodic theorems [Book]
Inegalités de Kato et semi-groups sous-Markoviens.
Inégalités de Sobolev et minorations du semi-groupe de la chaleur