Results 81 to 90 of about 2,840,866 (277)

Global existence of solutions to a hyperbolic-elliptic chemotaxis model on networks with nonhomogeneous boundary conditions

Results in Applied Mathematics
In this paper, we investigate a coupled hyperbolic-elliptic chemotaxis system posed on a network under nonhomogeneous boundary conditions. First, the boundary data are homogenized via a linear transformation.
Yafeng Li
doaj   +1 more source

Generation of analytic semigroups in $W^{k,p}(\Omega)$ and $C^k(\overline\Omega)$ [PDF]

, 1996
Fabrizio Colombo, Vincenzo Vesprı
openalex   +1 more source

Existence of solutions in the alpha-norm for partial differential equations of neutral type with finite delay

Electronic Journal of Differential Equations, 2010
In this work, we prove results on the local existence of mild solution and global continuation in the alpha-norm for some class of partial neutral differential equations. We suppose that the linear part generates a compact analytic semigroup.
Khalil Ezzinbi, Hatem Megdiche, Amor Rebey   +2 more
doaj  

Criteria for analyticity of subordinate semigroups [PDF]

Semigroup 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

, 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

Fixed 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, P. Anukokila, M. Tamilarasi, P. Shanmugasundram   +3 more
doaj   +1 more source

Equivalence of the strong Feller properties of analytic semigroups and associated resolvents [PDF]

, 2021
Seiichiro Kusuoka, Kazuhiro Kuwae, Kouhei Matsuura   +2 more
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Some decay results in Timoshenko beam with microtemperatures of type III

Boundary Value Problems
The governing equations of the thermoelastic Timoshenko beam with microtemperatures are derived based on type III entropy balance. Our development of this theory is prompted by the increasing use of materials that exhibit thermal variations at the ...
Imed Kedim, Moncef Aouadi, Taoufik Moulahi   +2 more
doaj   +1 more source

Weak almost periodic and optimal mild solutions of fractional evolution equations

Electronic 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  

Weak amenability of Banach algebras generated by some analytic semigroups [PDF]

, 1988
Jośe E. Galé
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