id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
iajs-2557	A. Ali Al-Hawasy, Jamil; A. Thyab Al-Ajeeli, Nabeel	The Necessary Condition for Optimal Boundary Control Problems for Triple Elliptic Partial Differential Equations	2021	8	.pdf	application/pdf	3806	231	85	= (y⃗ − y⃗ d , ∆y⃗⃗⃗⃗ ) L2(Ω) (33) − y2 − y3 = f1(x), in Ω (1) A2y2 + y1 + y2 + y3 = f2(x), in Ω (2) A3y3 + y1 − y2 + y3 = f3(x), in Ω (3) ∑ a1ij ∂y1 ∂n1 = u1 , 2 i,j=1 on ∂Ω (4) ∑ a2ij ∂y2 ∂n2 = u2 , 2 i,j=1 on∂Ω (5) ∑ a3ij ∂y3 ∂n3 = u3 , 2 i,j=1 on∂Ω (6) where Aryr = −∑ ∂ ∂xi (arij (x) ∂yr ∂xj ) , r = 1,2,3, arij = arij (xij) ∈ L∞(Ω) , and2 i,j=1 (u1, u2, u3) = (u1(x), u2(x), u3(x))	cache/iajs-2557.pdf	txt/iajs-2557.txt