H^m- Modified Wave operator for Nonlinear Hartree Equations in Space of Dimension n . 2

Authors
Changxing, Miao
Citation
Changxing, Miao, H^m- Modified Wave operator for Nonlinear Hartree Equations in Space of Dimension n . 2, Acta Mathematica Sinica, New Series Chinese Journal of Mathematics, 13(2), 1997, pp. 247-268
Journal title
Acta Mathematica Sinica, New Series Chinese Journal of Mathematics → ACNP
ISSN journal
10009574
Volume
13
Issue
2
Year of publication
1997
Pages
247 - 268
Database
ACNP
SICI code
Abstract
We consider the scattering problem for the Hartree equation with potential |x|.1 in 90 a space of dimension n . 2. We prove the existence of H^m-modified wave operator for Hartree (equation on a dense set of a neighborhood of zero in H^m (..), meanwhile, we obtain also the global existence for the Cauchy problem of Hartree equation in a space of dimension n. 2.