Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5024721 | Nonlinear Analysis: Theory, Methods & Applications | 2017 | 15 Pages |
Abstract
We study the Cauchy problem for Hartree equation with cubic convolution nonlinearity F(u)=(kâ|u|2)u under a specified condition on potential k with Cauchy data in modulation spaces Mp,q(Rn). We establish global well-posedness results in Mp,p(Rn) with 1â¤p<2nn+ν, when k(x)=λ|x|ν(λâR,0<ν
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Authors
Ramesh Manna,