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)

Scientific publications

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

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, JAN 5 2017. (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., 2017-01-05. (14/09900-7)

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, JAN 1 2017. (14/09900-7)