Some Results on Operator Semigroups and Evolution Problems: On weak and almost weak stability of operator semigroups - Brossura
Sinossi
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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L'autore
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.
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Some Results on Operator Semigroups and Evolution Problems
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LAP LAMBERT Academic Publishing Mrz 2012, 2012
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ISBN 13: 9783844381627
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Taschenbuch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 84 pp. Englisch. Codice articolo 9783844381627
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Some Results on Operator Semigroups and Evolution Problems
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Some Results on Operator Semigroups and Evolution Problems
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Taschenbuch. Condizione: Neu. This item is printed on demand - Print on Demand Titel. Neuware -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.VDM Verlag, Dudweiler Landstraße 99, 66123 Saarbrücken 84 pp. Englisch. Codice articolo 9783844381627
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Some Results on Operator Semigroups and Evolution Problems : On weak and almost weak stability of operator semigroups
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LAP LAMBERT Academic Publishing, 2012
ISBN 10: 3844381627
ISBN 13: 9783844381627
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Taschenbuch. Condizione: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - 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. Codice articolo 9783844381627
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Some Results on Operator Semigroups and Evolution Problems | On weak and almost weak stability of operator semigroups
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Taschenbuch. Condizione: Neu. Some Results on Operator Semigroups and Evolution Problems | On weak and almost weak stability of operator semigroups | András Serény | Taschenbuch | 84 S. | Englisch | 2012 | LAP LAMBERT Academic Publishing | EAN 9783844381627 | Verantwortliche Person für die EU: preigu GmbH & Co. KG, Lengericher Landstr. 19, 49078 Osnabrück, mail[at]preigu[dot]de | Anbieter: preigu Print on Demand. Codice articolo 106588329
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Some Results on Operator Semigroups and Evolution Problems: On weak and almost weak stability of operator semigroups
Editore:
LAP LAMBERT Academic Publishing, 2012
ISBN 10: 3844381627
ISBN 13: 9783844381627
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