Results 1 to 10 of about 193,737 (236)
On the Adjoint of a Strongly Continuous Semigroup [PDF]
Abstract and Applied Analysis, 2008 Using some techniques from vector integration, we prove the weak measurability of the adjoint of strongly continuous semigroups which factor through Banach spaces without isomorphic copy of l1; we also prove the strong continuity away from zero of the ...
Diómedes Bárcenas +1 more
doaj +5 more sources
The Critical Spectrum of a Strongly Continuous Semigroup
Advances in Mathematics, 2000 \textit{A. Lyapunov} showed in [``General problem of the stability of motion'' (Russian), Charkov (1892; JFM 24.0876.02); French translation in Ann. Fac. Sci. Toulouse Sci. Math. Sci. Phys. (2) 9, 203-474 (1907; JFM 38.0738.07)] that the asymptotic behavior as \(t \to \infty\) of the exponential function \(\exp[tA]\) for a matrix \(A\) can be described
Rainer Nagel
exaly +4 more sources
On strongly continuous ρh-semigroup
Journal of Physics: Conference Series, 2019 In this paper, we introduce a semi group which it constructs the solution of the partial differential equation as the form: First, we introduce the operator theory and the fundamental theorems of the semigroup and certain notions of strongly continuous ...
Methaq Hamza Geem
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Strongly continuous semigroups on some Fréchet spaces [PDF]
Journal of Mathematical Analysis and Applications, 2013 We prove that for a strongly continuous semigroup T on the Frechet space ω of all scalar sequences, its generator is a continuous linear operator A ∈ L ( ω ) and that, for all x ∈ ω and t ⩾ 0 , the series exp ( t A ) ( x ) = ∑ k = 0 ∞ t k k !
L. Frerick +3 more
semanticscholar +6 more sources
Stabilized approximations of strongly continuous semigroups
Journal of Mathematical Analysis and Applications, 2008 This paper introduces stabilization techniques for intrinsically unstable, high accuracy rational approximation methods for strongly continuous semigroup.
Sarah McAllister, F. Neubrander
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Distributional chaos for strongly continuous semigroups of operators [PDF]
Communications on Pure and Applied Analysis, 2013 Distributional chaos for strongly continuous semigroups is studied and characterized. It is shown to be equivalent to the existence of a distributionally irregular vector. Finally, a sufficient condition for distributional chaos on the point spectrum of the generator of the semigroup is presented. An application to the semigroup generated in L-2 (R) by
A. Albanese +3 more
semanticscholar +5 more sources
The Growth Bound for Strongly Continuous Semigroups on Fréchet Spaces [PDF]
Proceedings of the Edinburgh Mathematical Society, 2014 We introduce the concepts of growth and spectral bound for strongly continuous semigroups acting on Fréchet spaces and show that the Banach space inequality s(A) ⩽ ω 0(T) extends to the new setting.
Sven-Ake Wegner
semanticscholar +4 more sources
Non power bounded generators of strongly continuous semigroups [PDF]
Journal of Mathematical Analysis and Applications, 2015 It is folklore that a power bounded operator on a sequentially complete locally convex space generates a uniformly continuous C 0 -semigroup which is given by the corresponding power series representation.
A. Goli'nska, Sven-Ake Wegner
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On the perturbation theory for strongly continuous semigroups
Mathematische Annalen, 1977 The main purpose of this note is to prove Miyadera's theorem on perturbations of semigroup generators (Miyadera [4]; see Remark 2, c) below) under reduced assumptions. In our proof we obtain the perturbed semigroup by an iteration similar to the iteration used in the proof for bounded perturbations.
Jiirgen Voigt
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Embedding operators into strongly continuous semigroups [PDF]
Archiv der Mathematik, 2008 .We study linear operators T on Banach spaces for which there exists a C0-semigroup (T(t))t≥0 such that T = T(1). We present a necessary condition in terms of the spectral value 0 and give classes of examples for which such a C0-semigroup does or does ...
T. Eisner
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