An inverse inequality for a Bresse–Timoshenko system without second spectrum of frequency

Autor:	D. S. Almeida Júnior, L. G. R. Miranda, A. J. A. Ramos
Rok vydání:	2020
Předmět:	Timoshenko beam theory Wave propagation General Mathematics 010102 general mathematics Spectrum (functional analysis) Mathematical analysis Order (ring theory) 01 natural sciences Controllability 0103 physical sciences 010307 mathematical physics 0101 mathematics Inverse inequality Mathematics
Zdroj:	Archiv der Mathematik. 114:709-719
ISSN:	1420-8938 0003-889X
DOI:	10.1007/s00013-020-01452-5
Popis:	In this paper, we consider a truncated version of the Timoshenko beam model and we prove an inverse inequality in order to obtain the controllability of the total system. The present system is new in the control and stabilization setting according to recent contributions due to Almeida Junior and Ramos (Z Angew Math Phys 68(145):31, 2017). The advantage here relies on mathematical results which do not depend on the classical condition between wave propagation velocities.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::b3f67e2f4f0f6a71ab89c6558eb6210f https://doi.org/10.1007/s00013-020-01452-5 Zobrazit plný text záznamu Full text from SpringerLink