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

Department of Mathematics

Pohang University of Science and Technology
Hokkaido University

Research output: Contribution to journal › Journal article › peer-review

11 Scopus citations

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
State	Published - 2007.09

Keywords

Coulomb type potentials
Global existence
Scattering
Semirelativistic Hartree type equations

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10.4134/JKMS.2007.44.5.1065

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@article{b49c388b3b2f476fa5ae332140e2924e,

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",

volume = "44",

pages = "1065--1078",

journal = "Journal of the Korean Mathematical Society",

issn = "0304-9914",

number = "5",

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TY - JOUR

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

UR - https://www.scopus.com/pages/publications/34548548259

U2 - 10.4134/JKMS.2007.44.5.1065

DO - 10.4134/JKMS.2007.44.5.1065

M3 - Journal article

AN - SCOPUS:34548548259

SN - 0304-9914

VL - 44

SP - 1065

EP - 1078

JO - Journal of the Korean Mathematical Society

JF - Journal of the Korean Mathematical Society

IS - 5

ER -

Global solutions of semirelativistic hartree type equations

Abstract

Keywords

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