Final state observability in Banach spaces with applications to subordination and semigroups induced by Lévy processes
Research output: Contribution to journal › Research article › Contributed › peer-review
Contributors
Abstract
This paper generalizes the abstract method of proving an observability estimate by combining an uncertainty principle and a dissipation estimate. In these estimates we allow for a large class of growth/decay rates satisfying an integrability condition. In contrast to previous results, we use an iterative argument which enables us to give an asymptotically sharp estimate for the observation constant and which is explicit in the model parameters. We give two types of applications where the extension of the growth/decay rates naturally appear. By exploiting subordination techniques we show how the dissipation estimate of a semigroup transfers to subordinated semigroups. Furthermore, we apply our results to semigroups related to Levy processes.
Details
Original language | English |
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Pages (from-to) | 1102-1121 |
Number of pages | 20 |
Journal | Evolution Equations and Control Theory |
Volume | 12 |
Issue number | 4 |
Publication status | Published - Aug 2023 |
Peer-reviewed | Yes |
External IDs
WOS | 000930545000001 |
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unpaywall | 10.3934/eect.2023002 |
Mendeley | 9368cde1-ffbe-35a8-9667-f802ae69278d |
ORCID | /0000-0002-9900-7864/work/142256396 |
Keywords
ASJC Scopus subject areas
Keywords
- Banach space, C-semigroups, Final state observability estimate, fractional powers, null-controllability, C-0 -semigroups, Fractional powers, Null controllability, C0-semigroups