Global solutions of semirelativistic hartree type equations

Yonggeun Cho; Tohru Ozawa

doi:10.4134/JKMS.2007.44.5.1065

Global solutions of semirelativistic hartree type equations

Yonggeun Cho^*, Tohru Ozawa

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

10 Citations (Scopus)

Abstract

We consider initial value problems for the semirelativistic Hartree type 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.

Original language	English
Pages (from-to)	1065-1078
Number of pages	14
Journal	Journal of the Korean Mathematical Society
Volume	44
Issue number	5
DOIs	https://doi.org/10.4134/JKMS.2007.44.5.1065
Publication status	Published - 2007 Sept
Externally published	Yes

Keywords

Coulomb type potentials
Global existence
Scattering
Semirelativistic Hartree type equations

ASJC Scopus subject areas

Mathematics(all)

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10.4134/JKMS.2007.44.5.1065

Cite this

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title = "Global solutions of semirelativistic hartree type equations",

abstract = "We consider initial value problems for the semirelativistic Hartree type 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.",

keywords = "Coulomb type potentials, Global existence, Scattering, Semirelativistic Hartree type equations",

author = "Yonggeun Cho and Tohru Ozawa",

year = "2007",

month = sep,

doi = "10.4134/JKMS.2007.44.5.1065",

language = "English",

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T1 - Global solutions of semirelativistic hartree type equations

AU - Cho, Yonggeun

AU - Ozawa, Tohru

PY - 2007/9

Y1 - 2007/9

N2 - We consider initial value problems for the semirelativistic Hartree type 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.

AB - We consider initial value problems for the semirelativistic Hartree type 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.

KW - Coulomb type potentials

KW - Global existence

KW - Scattering

KW - Semirelativistic Hartree type equations

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DO - 10.4134/JKMS.2007.44.5.1065

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JO - Journal of the Korean Mathematical Society

JF - Journal of the Korean Mathematical Society

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ER -

Global solutions of semirelativistic hartree type equations

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

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