Some Results on Operator Semigroups and Evolution Problems: On weak and almost weak stability of operator semigroups - Couverture souple

Serény, András

 
9783844381627: Some Results on Operator Semigroups and Evolution Problems: On weak and almost weak stability of operator semigroups
Couverture souple
ISBN 10 : 3844381627 ISBN 13 : 9783844381627
Editeur : LAP LAMBERT Academic Publishing, 2012

Synopsis

In this thesis we address certain questions arising in the functional analytic study of dynamical systems and differential equations. First, we discuss the operator theoretic counterparts of the central ergodic theoretical notions of strong and weak mixing. These concepts correspond to particular types of asymptotic behaviour of operator semigroups in the weak operator topology. In particular, we carry over classical theorems of Halmos and Rohlin for measure preserving transformations to the Hilbert space operator setting. Further, we illustrate operator semigroup methods and results on a class of telegraph systems with various boundary conditions. We study both linear and nonlinear boundary value problems. The stability of linear telegraph systems is discussed by applying theorems from the previous chapters. For the existence of solutions, we are particularly interested in time-dependent boundary conditions, since this case has little been investigated so far.

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Présentation de l'éditeur

In this thesis we address certain questions arising in the functional analytic study of dynamical systems and differential equations. First, we discuss the operator theoretic counterparts of the central ergodic theoretical notions of strong and weak mixing. These concepts correspond to particular types of asymptotic behaviour of operator semigroups in the weak operator topology. In particular, we carry over classical theorems of Halmos and Rohlin for measure preserving transformations to the Hilbert space operator setting. Further, we illustrate operator semigroup methods and results on a class of telegraph systems with various boundary conditions. We study both linear and nonlinear boundary value problems. The stability of linear telegraph systems is discussed by applying theorems from the previous chapters. For the existence of solutions, we are particularly interested in time-dependent boundary conditions, since this case has little been investigated so far.

Biographie de l'auteur

Dr. András Serény has obtained his PhD degree in Mathematics and its Applications at the Central European University, Budapest, in 2008. With coauthors, he has published several papers, mostly about the asymptotic behaviour of operator semigroups and the non-linear telegraph equation. In recent years, he has been working in the software industry.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
LAP LAMBERT Academic Publishing
Date d'édition
2012
Langue
anglais
ISBN 10 
3844381627
ISBN 13 
9783844381627
Reliure
Broché
Nombre de pages
84
Coordonnées du fabricant
non disponible
Personne responsable
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