Temat: dissipative semigroup - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Abstract parabolic problem with non-Lipschitz nonlinearity
Autorzy:: Cholewa, Jan
Dlotko, Tomasz
Powiązania:: https://bibliotekanauki.pl/articles/1207637.pdf
Data publikacji:: 2000
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: dissipative semigroup
parabolic system
Cauchy problem
global attractor
global solution
Opis:: An abstract parabolic equation with sectorial operator and continuous nonlinearity is studied in this paper. In particular, the asymptotic behavior of solutions is described within the framework of the theory of global attractors. Examples included in the final part of the paper illustrate the presented ideas.
Źródło:: Banach Center Publications; 2000, 52, 1; 73-81
0137-6934
Pojawia się w:: Banach Center Publications
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 2.

Tytuł:: J-energy preserving well-posed linear systems
Autorzy:: Staffans, O. J.
Powiązania:: https://bibliotekanauki.pl/articles/908123.pdf
Data publikacji:: 2001
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:: układ zachowawczy
system liniowy
równanie Lyapunova
równanie różniczkowe Riccatiego
well-posed linear systems
system node
transfer function
Lax-Phillips semigroup
dissipative systems
conservative system
model theory
conservative realization
J-energy-preserving system
Lyapunov equations
Riccati equation
Opis:: The following is a short survey of the notion of a well-posed linear system. We start by describing the most basic concepts, proceed to discuss dissipative and conservative systems, and finally introduce J-energy-preserving systems, i.e., systems that preserve energy with respect to some generalized inner products (possibly semi-definite or indefinite) in the input, state and output spaces. The class of well-posed linear systems contains most linear time-independent distributed parameter systems: internal or boundary control of PDE's, integral equations, delay equations, etc. These systems have existed in an implicit form in the mathematics literature for a long time, and they are closely connected to the scattering theory by Lax and Phillips and to the model theory by Sz.-Nagy and Foias. The theory has been developed independently by many different schools, and it is only recently that these different approaches have begun to converge. One of the most interesting objects of the present study is the Riccati equation theory for this class of infinite-dimensional systems (H2- and Hinfty-theories).
Źródło:: International Journal of Applied Mathematics and Computer Science; 2001, 11, 6; 1361-1378
1641-876X
2083-8492
Pojawia się w:: International Journal of Applied Mathematics and Computer Science
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 3.

Tytuł:: On a generalization of Lumer-Phillips theorem for dissipative operators in a Banach space
Autorzy:: Drissi, Driss
Powiązania:: https://bibliotekanauki.pl/articles/1218336.pdf
Data publikacji:: 1998
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: dissipative operators
local spectrum
semigroup of contraction operators
Opis:: Using [1], which is a local generalization of Gelfand's result for powerbounded operators, we first give a quantitative local extension of Lumer-Philips' result that states conditions under which a quasi-nilpotent dissipative operator vanishes. Secondly, we also improve Lumer-Phillips' theorem on strongly continuous semigroups of contraction operators.
Źródło:: Studia Mathematica; 1998, 130, 1; 1-7
0039-3223
Pojawia się w:: Studia Mathematica
Dostawca treści:: Biblioteka Nauki

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