Null Controllability of Linear Heat and Wave Equations with Nonlocal Spatial Terms

Enrique Fernández-Cara, Qi Lü, Enrique Zuazua
2016 SIAM Journal of Control and Optimization  
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.
more » ... systems are presented.
doi:10.1137/15m1044291 fatcat:ay5jt5yxhbecxiory2r473fjgy