Remarks on the relativistic Hartree equations


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Please use this identifier to cite or link to this item:https://doi.org/10.14943/83977

Title:	Remarks on the relativistic Hartree equations
Authors:	Cho, Yonggeun Browse this author
	Ozawa, Tohru Browse this author
	Sasaki, Hironobu Browse this author
	Shim, Yong-sun Browse this author
Keywords:	relativistic Hartree type equations
	global well-posedness
	scattering
	radial solutions
Issue Date:	2007
Publisher:	Department of Mathematics, Hokkaido University
Journal Title:	Hokkaido University Preprint Series in Mathematics
Volume:	827
Start Page:	1
End Page:	19
Abstract:	We study the global well-posedness (GWP) and small data scattering of radial solutions of the relativistic Hartree type equations with nonlocal nonlinearity F(u) = ¸(j ¢ j¡° ¤ juj2)u, ¸ 2 R n f0g, 0 < ° < n, n ¸ 3. We establish a weighted L2 Strichartz estimate applicable to non-radial functions and some fractional integral estimates for radial functions.
Type:	bulletin (article)
URI:	http://hdl.handle.net/2115/69636
Appears in Collections:	理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics

Submitter: 数学紀要登録作業用

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