Artículo
Null controllability of linear heat and wave equations with nonlocal spatial terms
Autor/es | Fernández Cara, Enrique
Lü, Qi Zuazua Iriondo, Enrique |
Departamento | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Fecha de publicación | 2016 |
Fecha de depósito | 2016-11-15 |
Publicado en |
|
Resumen | In this paper, we study the null controllability of linear heat and wave equations with spatial nonlocal integral terms. Under some analyticity assumptions on the corresponding kernel, we show that the equations are ... In this paper, we study the null controllability of linear heat and wave equations with spatial nonlocal integral terms. Under some analyticity assumptions on the corresponding kernel, we show that the equations are controllable. We employ compactness-uniqueness arguments in a suitable functional setting, an argument that is harder to apply for heat equations because of its very strong time irreversibility. Some possible extensions and open problems concerning other nonlocal systems are presented. |
Identificador del proyecto | MTM2013-41286-P
11471231 MTM2011-29306-C02-00 NUMERIWAVES/FP7-246775 FA9550-14-1-0214 FA9550-15-1-002 MTM2014-52347 |
Cita | Fernández Cara, E., Lü, Q. y Zuazua Iriondo, E. (2016). Null controllability of linear heat and wave equations with nonlocal spatial terms. SIAM Journal on Control and Optimization, 54 (4), 2009-2019. |
Ficheros | Tamaño | Formato | Ver | Descripción |
---|---|---|---|---|
Null controllability of linear ... | 290.7Kb | [PDF] | Ver/ | |