Global Regularity for the Quadratic Klein-Gordon Equation in R1+2

V. Georgiev; A. Stefanov

doi:10.1080/03605302.2013.794835

Global Regularity for the Quadratic Klein-Gordon Equation in R¹⁺²

V. Georgiev^*, A. Stefanov

^*Corresponding author for this work

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

1 Citation (Scopus)

Abstract

We consider 2-D Klein-Gordon equation with quadratic nonlinearity and prove Strichartz type dispersive estimates for the global solution with small initial data in the Sobolev space H^1+ε{lunate}.

Original language	English
Pages (from-to)	1287-1312
Number of pages	26
Journal	Communications in Partial Differential Equations
Volume	38
Issue number	8
DOIs	https://doi.org/10.1080/03605302.2013.794835
Publication status	Published - 2013 Jul 8
Externally published	Yes

Keywords

Dispersive estimates
Klein-Gordon equation
Small data solutions

ASJC Scopus subject areas

Analysis
Applied Mathematics

Access to Document

10.1080/03605302.2013.794835

Cite this

@article{0c4ca33e4c8a44fc86d2b504112a8e40,

title = "Global Regularity for the Quadratic Klein-Gordon Equation in R1+2",

abstract = "We consider 2-D Klein-Gordon equation with quadratic nonlinearity and prove Strichartz type dispersive estimates for the global solution with small initial data in the Sobolev space H1+ε{lunate}.",

keywords = "Dispersive estimates, Klein-Gordon equation, Small data solutions",

author = "V. Georgiev and A. Stefanov",

year = "2013",

month = jul,

day = "8",

doi = "10.1080/03605302.2013.794835",

language = "English",

volume = "38",

pages = "1287--1312",

journal = "Communications in Partial Differential Equations",

issn = "0360-5302",

publisher = "Taylor and Francis Ltd.",

number = "8",

}

TY - JOUR

T1 - Global Regularity for the Quadratic Klein-Gordon Equation in R1+2

AU - Georgiev, V.

AU - Stefanov, A.

PY - 2013/7/8

Y1 - 2013/7/8

N2 - We consider 2-D Klein-Gordon equation with quadratic nonlinearity and prove Strichartz type dispersive estimates for the global solution with small initial data in the Sobolev space H1+ε{lunate}.

AB - We consider 2-D Klein-Gordon equation with quadratic nonlinearity and prove Strichartz type dispersive estimates for the global solution with small initial data in the Sobolev space H1+ε{lunate}.

KW - Dispersive estimates

KW - Klein-Gordon equation

KW - Small data solutions

UR - http://www.scopus.com/inward/record.url?scp=84879682618&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84879682618&partnerID=8YFLogxK

U2 - 10.1080/03605302.2013.794835

DO - 10.1080/03605302.2013.794835

M3 - Article

AN - SCOPUS:84879682618

SN - 0360-5302

VL - 38

SP - 1287

EP - 1312

JO - Communications in Partial Differential Equations

JF - Communications in Partial Differential Equations

IS - 8

ER -