id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejde-339	Bhimani, Divyang G.	Global well-posedness for Klein-Gordon-Hartree and fractional Hartree equations on modulation spaces	2021	23	.pdf	application/pdf	10091	725	88	= (V ∗ |u|2), u(0) = u0, ut(0) = u1, (1.2) where u(t, x) is a complex valued function of (t, x) ∈ R × Rd, i = √ −1, ut = ∂ ∂t , utt = ∂2 ∂2t , I is the identity operator, ∆ is the Laplace operator, u0 and u1 are complex valued functions of x ∈ Rd, ∗ denotes the convolution in Rd, and V is of the type V (x) = λ |x|γ , λ ∈ R, x ∈ Rd, 0 < γ < d. (1.3) The stationary equation −∆u+(V ∗|u|2)u = ∫ Rd f(w) e2πix·wdw, x ∈ Rd, and	cache/ejde-339.pdf	txt/ejde-339.txt