A family of commuting contraction semigroups (Pn(t))n∈N{\left({P}_{n}\left(t))}_{n\in {\mathbb{N}}}, defined on l1(N){l}^{1}\left({\mathbb{N}}), is presented. For this family, the product semigroup ∏n=1∞Pn(t){\prod }_{n=1}^{\infty }{P}_{n}\left(t) exists
Nieznaj Ernest
doaj +1 more source
Existence and nonexistence of hypercyclic semigroups [PDF]
In these notes we provide a new proof of the existence of a hypercyclic uniformly continuous semigroup of operators on any separable infinitedimensional Banach space that is very different from –and considerably shorter than– the one recently given by ...
Bernal González, Luis +1 more
core
Uniqueness of a pre-generator for $C_0$-semigroup on a general locally convex vector space [PDF]
The main purpose is to generalize a theorem of Arendt about uniqueness of $C_0$-semigroups from Banach space setting to the general locally convex vector spaces, more precisely, we show that cores are the only domains of uniqueness for $C_0$-semigroups ...
Lemle, Ludovic Dan, Wu, Liming
core +2 more sources
$L^\infty$-uniqueness of Schr\"odinger operators restricted in an open domain
Consider the Schr\"odinger operator ${\cal A}=-\frac{\Delta}{2}+V$ acting on space $C_0^\infty(D)$, where $D$ is an open domain in $\R^d$. The main purpose of this paper is to present the $L^\infty(D,dx)$-uniqueness for Schr\"odinger operators which is ...
Lemle, Ludovic Dan
core +1 more source
Age-Structured SIR Model for the Spread of Infectious Diseases Through Indirect Contacts. [PDF]
Kumar M, Abbas S.
europepmc +1 more source
Exponential stability for neutral stochastic functional partial differential equations driven by Brownian motion and fractional Brownian motion. [PDF]
Zhang X, Ruan D.
europepmc +1 more source
Perron-Frobenius and Krein-Rutman theorems for tangentially positive operators
Kanigowski Adam, Kryszewski Wojciech
doaj +1 more source
Concave iteration semigroups of linear continuous set-valued functions
Smajdor Andrzej, Smajdor Wilhelmina
doaj +1 more source
THE HILLE–YOSIDA THEOREM FOR LOCAL CONVOLUTED SEMIGROUPS
V. Keyantuo, Claus Müller, P. Vieten
semanticscholar +1 more source
Criteria for the Lp-dissipativity of systems of second order differential equations
A. Cialdea, V. Maz'ya
semanticscholar +1 more source

