Null controllability for a parabolic-elliptic coupled system

Autor:	J. Límaco, Silvano B. de Menezes, Enrique Fernández-Cara
Přispěvatelé:	Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico, Universidad de Sevilla. FQM131: Ec.diferenciales,Simulacion Num.y Desarrollo Software
Rok vydání:	2013
Předmět:	Controllability parabolic-elliptic systems Optimization and Control (math.OC) General Mathematics Mathematical analysis Null (mathematics) FOS: Mathematics Limit (mathematics) Carleman inequalities Space (mathematics) Mathematics - Optimization and Control null controllability Mathematics
Zdroj:	idUS. Depósito de Investigación de la Universidad de Sevilla instname
ISSN:	1678-7714 1678-7544
DOI:	10.1007/s00574-013-0014-x
Popis:	In this paper, we prove the null controllability of some parabolicelliptic systems. The control is distributed, locally supported in space and appears only in one PDE. The arguments rely on fixed-point reformulation and suitable Carleman estimates for the solutions to the adjoint system. Under appropriate assumptions, we also prove that the solution can be obtained as the asymptotic limit of some similar parabolic systems.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::908a44c0b3e32c599f6375a667b750d2 https://doi.org/10.1007/s00574-013-0014-x Zobrazit plný text záznamu Plný text ve formátu PDF