Zobrazeno 1 - 10
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pro vyhledávání: '"Positive semigroups"'
Autor:
Arendt, Wolfgang, Daners, Daniel
We study semi-linear evolutionary problems where the linear part is the generator of a positive $C_0$-semigroup. The non-linear part is assumed to be quasi-increasing. Given an initial value in between a sub- and a super-solution of the stationary pr
Externí odkaz:
http://arxiv.org/abs/2407.05522
Autor:
Arora, Sahiba
The spectral theory of semigroup generators is a crucial tool for analysing the asymptotic properties of operator semigroups. Typically, Tauberian theorems, such as the ABLV theorem, demand extensive information about the spectrum to derive convergen
Externí odkaz:
http://arxiv.org/abs/2405.16371
Autor:
Barbieri, Alessio, Engel, Klaus-Jochen
In this note we generalize perturbation results for positive $C_0$-semigroups on AM- and AL-spaces and give a Weiss--Staffans type perturbation result for generators of positive semigroups on Banach lattices. The abstract results are applied to domai
Externí odkaz:
http://arxiv.org/abs/2405.18947
Autor:
Arora, Sahiba, Glück, Jochen
Publikováno v:
Studia Mathematica 276 (2024), 99-129
Positive $C_0$-semigroups that occur in concrete applications are, more often than not, irreducible. Therefore a deep and extensive theory of irreducibility has been developed that includes characterizations, perturbation analysis, and spectral resul
Externí odkaz:
http://arxiv.org/abs/2307.04627
The stability analysis of possibly time varying positive semigroups on non necessarily compact state spaces, including Neumann and Dirichlet boundary conditions is a notoriously difficult subject. These crucial questions arise in a variety of areas o
Externí odkaz:
http://arxiv.org/abs/2301.03484
Autor:
Glück, Jochen, Mironchenko, Andrii
We consider generators of positive $C_0$-semigroups and, more generally, resolvent positive operators $A$ on ordered Banach spaces and seek for conditions ensuring the negativity of their spectral bound $s(A)$. Our main result characterizes $s(A) < 0
Externí odkaz:
http://arxiv.org/abs/2210.13566