id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejde-1084	Xin; Xinglong	Persistence properties of solutions for multi-component Novikov equations	2025	18	.pdf	application/pdf	6234	343	82	For p > 1, if the initial data satisfies for some C > 0, ∥U0(x)I(x)∥Lp + ∥U0,x(x)I(x)∥Lp ≤ C, then the solution satisfies ∥U(t, ·)I∥Lp + ∥Ux(t, ·)I∥Lp ≤ C, EJDE-2025/27 MULTI-COMPONENT NOVIKOV EQUATIONS 7 uniformly in the interval [0, T ], where for α ∈ [0,∞) and K ∈ R+, the weighted function I(x) is given by I(x) = { (ln(e2 + |x|))α, |x| ∈ [0, T ], Y (t) ≤ CY (0) ≤ C (∥U0(x)I(x)∥Lp + ∥U0,x(x)I(x)∥Lp + ∥U0,xxI∥Lp) .	cache/ejde-1084.pdf	txt/ejde-1084.txt