$C_0$ Semigroup and Local Spectral Theory
Abdelaziz Tajmouati, Mohamed Karmouni, Hamid Boua, Zakariya Al-Homidi
TL;DR
This paper investigates local spectral properties of $C_0$ semigroups and their generators, providing new insights into their stability characteristics and spectral behavior.
Contribution
It introduces new local spectral analysis techniques for $C_0$ semigroups and their generators, advancing understanding of their stability and spectral properties.
Findings
Established new stability results for $C_0$ semigroups.
Analyzed local spectral properties of semigroups and generators.
Provided theoretical insights into spectral behavior.
Abstract
In this paper, we studied some local spectral properties for a Co semigroup and its generator. Some stabilities results are also established.
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Taxonomy
TopicsSpectral Theory in Mathematical Physics · Advanced Mathematical Modeling in Engineering · Stability and Controllability of Differential Equations