Results 11 to 20 of about 46 (46)

Optimal decay rates for the acoustic wave motions with boundary memory damping [PDF]

open access: yes, 2020
A linear wave equation with acoustic boundary conditions (ABC) on a portion of the boundary and Dirichlet conditions on the rest of the boundary is considered.
BENOMAR, Khalida, BENAISSA, Abbes
core   +2 more sources

Ornstein-Uhlenbeck processes in Banach spaces and their spectral representations. [PDF]

open access: yes, 2002
For Q the variance of some centred Gaussian random vector in a separable Banach space it is shown that, necessarily, Q factors through $\ell^2$ as a product of 2-summing operators.
James S. Groves, Groves, James S.
core   +1 more source

On a product formula for unitary groups

open access: yes, 2005
For any nonnegative self-adjoint operators A and B in a separable Hilbert space, the Trotter-type formula Formula is shown to converge strongly in the norm closure of dom (A1/2) ∩ dom (B1/2 for some subsequence and for almost every t ∈ R.
Cachia, Vincent
core   +1 more source

Fractional powers approach of operators for abstract evolution equations of third order in time [PDF]

open access: yes, 2020
In this work we study third order linear evolution equations in time, in the sense of theory of strongly continuous one-parameter semigroups, and approximations them of fractional order via theory of the fractional powers of closed and densely de ned ...
Santos, Lucas Araújo
core  

A family of commuting contraction semigroups on l1(N){l}^{1}\left({\mathbb{N}}) and l∞(N){l}^{\infty }\left({\mathbb{N}})

open access: yesOpen Mathematics
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

On a Product Formula for Unitary Groups [PDF]

open access: yes, 2017
For any nonnegative self-adjoint operators A and B in a separable Hilbert space, the Trotter-type formula [(ei2tA/n+ei2tB/n)/2]n is shown to converge strongly in the norm closure of dom (A1/2) ∩ dom (B1/2 for some subsequence and for almost every t ∈ R ...
Cachia, V.
core  

Standard triangularization of semigroups of non-negative operators

open access: yes
CODEN: JFUAAW; MRCLASS: 47D03 (47A15 47B38 47B65); MRNUMBER: MR2108364 (2005m:47086); MRREVIEWER: Roman Drnov{\v{s}}ekSource type: Electronic ...

core   +1 more source

© Hindawi Publishing Corp. SPECTRAL INCLUSIONS AND STABILITY RESULTS FOR STRONGLY CONTINUOUS SEMIGROUPS

open access: yes, 2002
We prove some spectral inclusions for strongly continuous semigroups. Some sta-bility results are also established. 2000 Mathematics Subject Classification: 47D03, 47A10. 1. Introduction and preliminaries.
Abdelkader Elkoutri, Mohamed Aziz Taoudi
core  

A Lower Bound for the Differences of Powers of Linear Operators

open access: yes, 2008
Let T be a bounded linear operator in a Banach space, with σ(T) = {1}. In 1983, Esterle–Berkani ’ s conjecture was proposed for the decay of differences (I − T) T n as follows: Either lim infn→ ∞ (n + 1) (I − T) T n ≥ 1/e or T = I.
V. Turunen   +3 more
core  

On the unboundedness of control operators for bilinear systems

open access: yes, 2003
The aim of this work is to study the classes of unbounded linear control operators which ensure the existence and uniqueness of the mild and strong solutions of certain bilinear control systems.
Idrissi, Abdelalli
core  

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