Global solutions to semirelativistic Hartree equations


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Please use this identifier to cite or link to this item:https://doi.org/10.14943/83963

Title:	Global solutions to semirelativistic Hartree equations
Authors:	Cho, Yonggeun Browse this author
Authors:	Ozawa, Tohru Browse this author
Keywords:	semirelativistic Hartree equations
	global existence
	scattering
	Coulomb type potentials
Issue Date:	2006
Publisher:	Department of Mathematics, Hokkaido University
Journal Title:	Hokkaido University Preprint Series in Mathematics
Volume:	813
Start Page:	1
End Page:	12
Abstract:	We consider initial value problems for the semirelativistic Hartree equations with cubic convolution nonlinearity $F(u) = (V * \|u\|^2)u$. Here $V$ is a sum of two Coulomb type potentials. Under a specified decay condition and a symmetric condition for the potential $V$ we show the global existence and scattering of solutions.
Type:	bulletin (article)
URI:	http://hdl.handle.net/2115/69621
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

OAI-PMH ( junii2 , jpcoar_1.0 )

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