| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 839244 | Nonlinear Analysis: Theory, Methods & Applications | 2016 | 12 Pages |
Abstract
We study the Cauchy problem for Hartree equation with cubic convolution nonlinearity F(u)=(K∗|u|2)uF(u)=(K∗|u|2)u under a specified condition on potential KK with Cauchy data in modulation spaces Mp,q(Rd)Mp,q(Rd). We establish global well-posedness results in M1,1(Rd)M1,1(Rd) when K(x)=λ|x|−γK(x)=λ|x|−γ(λ∈R,0<γ
Keywords
Related Topics
Physical Sciences and Engineering
Engineering
Engineering (General)
Authors
Divyang G. Bhimani,