A Lemma on C0-semigroups on Time Scales and Approximate Controllability of the Heat Dynamic Equation
Abstract
In this paper, we present a lemma that allows us to characterize a broad class of C0-semigroups on time scales, which can be applied to prove existence and uniqueness of solutions of systems of partial differential equations where the time domain is a time scale. The result obtained is applied to study the controllability of the heat equation on time scales. The lemma presented in this paper can be seen as a unification of the one proved by H. Leiva in [28], for semigroups in [0,∞).
Recommended Citation
M. Bohner et al., "A Lemma on C0-semigroups on Time Scales and Approximate Controllability of the Heat Dynamic Equation," Quaestiones Mathematicae, vol. 47, no. 9, pp. 1807 - 1826, National Inquiry Services Centre (NISC); Taylor and Francis; Taylor and Francis Group, Jan 2024.
The definitive version is available at https://doi.org/10.2989/16073606.2024.2345845
Department(s)
Mathematics and Statistics
Keywords and Phrases
C -semigroups 0; controllability; heat equation; infinitesimal generator; Time scales
International Standard Serial Number (ISSN)
1727-933X; 1607-3606
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2025 National Inquiry Services Centre (NISC); Taylor and Francis; Taylor and Francis Group, All rights reserved.
Publication Date
01 Jan 2024
