id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejde-1400	Begout, Pascal; Diaz, Jesus Ildefonso	Title: Solutions with expanding compact support of saturated Schrodinger equations: self-similar solutions	2025	15	.pdf	application/pdf	8217	474	81	If ∥F∥L2(RN ) ≤ δ and ∥F∥L∞(Kc) ≤ 1 M , then there exists a self-similar solution (u, U) to (1.2) such that u ∈ C ( (0,∞);H2(RN ) ) ∩ C1 ( (0,∞);H1(RN ) ) ∩ C2 ( (0,∞);L2(RN ) ) (2.10) and for any t > 0, suppu(t) is compact. On the other hand, if for some 0 < q ≤ ∞, u ∈ C ( (0,∞);Lq(RN ) ) then φ ∈ Lq(RN ) and it follows from (2.5) that ∀t > 0, ∥u(t)∥Lq(RN )	cache/ejde-1400.pdf	txt/ejde-1400.txt