Global solutions for a semilinear, two-dimensional Klein-Gordon equation with exponential-type nonlinearity

Slim Ibrahim; Mohamed Majdoub; Nader Masmoudi

doi:10.1002/cpa.20127

Global solutions for a semilinear, two-dimensional Klein-Gordon equation with exponential-type nonlinearity

Slim Ibrahim, Mohamed Majdoub, Nader Masmoudi

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

Abstract

We prove the existence and uniqueness of global solutions for a Cauchy problem associated to a semilinear Klein-Gordon equation in two space dimensions. Our result is based on an interpolation estimate with a sharp constant obtained by a standard variational method.

Original language	English (US)
Pages (from-to)	1639-1658
Number of pages	20
Journal	Communications on Pure and Applied Mathematics
Volume	59
Issue number	11
DOIs	https://doi.org/10.1002/cpa.20127
State	Published - Nov 2006

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

Access to Document

10.1002/cpa.20127

Cite this

@article{76b6299015f746ca83e816a332a993f2,

title = "Global solutions for a semilinear, two-dimensional Klein-Gordon equation with exponential-type nonlinearity",

abstract = "We prove the existence and uniqueness of global solutions for a Cauchy problem associated to a semilinear Klein-Gordon equation in two space dimensions. Our result is based on an interpolation estimate with a sharp constant obtained by a standard variational method.",

author = "Slim Ibrahim and Mohamed Majdoub and Nader Masmoudi",

year = "2006",

month = nov,

doi = "10.1002/cpa.20127",

language = "English (US)",

volume = "59",

pages = "1639--1658",

journal = "Communications on Pure and Applied Mathematics",

issn = "0010-3640",

publisher = "Wiley-Liss Inc.",

number = "11",

}

TY - JOUR

T1 - Global solutions for a semilinear, two-dimensional Klein-Gordon equation with exponential-type nonlinearity

AU - Ibrahim, Slim

AU - Majdoub, Mohamed

AU - Masmoudi, Nader

PY - 2006/11

Y1 - 2006/11

N2 - We prove the existence and uniqueness of global solutions for a Cauchy problem associated to a semilinear Klein-Gordon equation in two space dimensions. Our result is based on an interpolation estimate with a sharp constant obtained by a standard variational method.

AB - We prove the existence and uniqueness of global solutions for a Cauchy problem associated to a semilinear Klein-Gordon equation in two space dimensions. Our result is based on an interpolation estimate with a sharp constant obtained by a standard variational method.

UR - http://www.scopus.com/inward/record.url?scp=33749341214&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33749341214&partnerID=8YFLogxK

U2 - 10.1002/cpa.20127

DO - 10.1002/cpa.20127

M3 - Article

AN - SCOPUS:33749341214

SN - 0010-3640

VL - 59

SP - 1639

EP - 1658

JO - Communications on Pure and Applied Mathematics

JF - Communications on Pure and Applied Mathematics

IS - 11

ER -

Global solutions for a semilinear, two-dimensional Klein-Gordon equation with exponential-type nonlinearity

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this