Results 81 to 90 of about 18,096 (200)

Criteria for analyticity of subordinate semigroups [PDF]

open access: yesSemigroup Forum, 2008
Let $ $ be a Bernstein function. A.~Carasso and T.~Kato obtained necessary and sufficient conditions for $ $ to have a property that $ (A)$ generates a quasibounded holomorphic semigroup for every generator $A$ of a bounded $C_0$-semigroup in a Banach space, in terms of some convolution semigroup of measures associated with $ $.
openaire   +3 more sources

Continuous maximal regularity and analytic semigroups

open access: yes, 2011
In this paper we establish a result regarding the connection between continuous maximal regularity and generation of analytic semigroups on a pair of densely embedded Banach spaces. More precisely, we show that continuous maximal regularity for a closed operator $A$ : $E_1 \to E_0$ implies that $A$ generates a strongly continuous analytic semigroup
LeCrone, Jeremy, Simonett, Gieri
openaire   +3 more sources

An investigation of optimality and controllability for quasilinear impulsive evolution systems in abstract spaces

open access: yesFixed Point Theory and Algorithms for Sciences and Engineering
This paper presents the controllability and optimal control results for a structure with quasi-linear evolution in abstract spaces. First, the analytic semigroup theory was used to prove the existence and uniqueness of the quasilinear system ...
B. Radhakrishnan   +3 more
doaj   +1 more source

Analyticity of thermo-elastic semigroups with coupled hinged/Neumann B.C.

open access: yesAbstract and Applied Analysis, 1998
We consider a thermo-elastic plate system where the elastic equation does not account for rotational forces. We select the case of hinged mechanical B.C. and Neumann thermal B.C., which are coupled on the boundary.
Irena Lasiecka, Roberto Triggiani
doaj   +1 more source

Weak almost periodic and optimal mild solutions of fractional evolution equations

open access: yesElectronic Journal of Differential Equations, 2009
In this article, we prove the existence of optimal mild solutions for linear fractional evolution equations with an analytic semigroup in a Banach space.
Amar Debbouche, Mahmoud M. El-Borai
doaj  

Criteria for Analyticity of Multidimensionally Subordinated Semigroups

open access: yesJournal of Mathematical Sciences
Let $ψ$ be a Bernstein function in one variable. A.~Carasso and T.~Kato obtained necessary and sufficient conditions for $ψ$ to have a property that $ψ(A)$ generates a quasibounded holomorphic semigroup for every generator $A$ of a bounded $C_0$-semigroup in a Banach space and deduced necessary conditions as well.
openaire   +3 more sources

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