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Exact boundary control for systems of hyperbolic partial differential equations

Grant number:14/09900-7
Support Opportunities:Regular Research Grants
Start date: August 01, 2014
End date: July 31, 2016
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Analysis
Principal Investigator:Waldemar Donizete Bastos
Grantee:Waldemar Donizete Bastos
Host Institution: Instituto de Biociências, Letras e Ciências Exatas (IBILCE). Universidade Estadual Paulista (UNESP). Campus de São José do Rio Preto. São José do Rio Preto , SP, Brazil
City of the host institution:São José do Rio Preto

Abstract

In this project we study the exact boundary controllability for a system wave equations coupled by lower order terms. Our goal is to obtain control of type Neuman, square integrable, working at the entire boundary or on part of it, when the initial data have finite energy. We consider bounded domains with piecewise smooth boundary of the n-dimensional space. We also seek the shortest possible operating time of the control. (AU)

Articles published in Agência FAPESP Newsletter about the research grant:
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Scientific publications
(The scientific publications listed on this page originate from the Web of Science or SciELO databases. Their authors have cited FAPESP grant or fellowship project numbers awarded to Principal Investigators or Fellowship Recipients, whether or not they are among the authors. This information is collected automatically and retrieved directly from those bibliometric databases.)
NUNES, R. S. O.; BASTOS, W. D.. Analyticity and near optimal time boundary controllability for the linear Klein-Gordon equation. Journal of Mathematical Analysis and Applications, v. 445, n. 1, p. 394-406, . (14/09900-7)
BASTOS, WALDEMAR D.; NUNES, RUIKSON S. O.; SORIANO PITOT, JOAO MANOEL. EXACT BOUNDARY CONTROLLABILITY FOR A SERIES OF MEMBRANES ELASTICALLY CONNECTED. Electronic Journal of Differential Equations, . (14/09900-7)
BASTOS, WALDEMAR D.; NUNES, RUIKSON S. O.; SORIANO PITOT, JOAO MANOEL. EXACT BOUNDARY CONTROLLABILITY FOR A SERIES OF MEMBRANES ELASTICALLY CONNECTED. Electronic Journal of Differential Equations, v. N/A, p. 16-pg., . (14/09900-7)