id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejde-412	Louis-Rose, Carole	Null controllability from the exterior of fractional parabolic-elliptic coupled systems	2020	18	.pdf	application/pdf	6645	455	85	Integrating over (0, 1)× (0, T ), we obtain∫ 1 0 ∫ T 0 (∂tu+ (−d2 x)su)ϕdx dt = ∫ 1 0 ∫ T 0 (au+ bv)ϕdx dt,∫ 1 0 ∫ T 0 σ(−d2 x)sv dx dt = ∫ 1 0 ∫ T 0 (cu+ dv)σ dx dt. ∫ 1 0 ∫ T 0 u∂tϕdx dt + c1,s 2 ∫ R2 ∫ T 0 (u(x)− u(y))(ϕ(x)− ϕ(y)) |x− y|1+2s dx dy dt− ∫ R\(0,1) ∫ T 0	cache/ejde-412.pdf	txt/ejde-412.txt