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

研究成果: Article

1 引用 (Scopus)

抄録

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}.

元の言語English
ページ(範囲)1287-1312
ページ数26
ジャーナルCommunications in Partial Differential Equations
38
発行部数8
DOI
出版物ステータスPublished - 2013
外部発表Yes

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Dispersive Estimates
Global Regularity
Sobolev spaces
Quadratic equation
Klein-Gordon Equation
Global Solution
Sobolev Spaces
Nonlinearity

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

これを引用

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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 = "Gueorguiev, {Vladimir Simeonov} and A. Stefanov",
year = "2013",
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T1 - Global Regularity for the Quadratic Klein-Gordon Equation in R1+2

AU - Gueorguiev, Vladimir Simeonov

AU - Stefanov, A.

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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}.

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KW - Dispersive estimates

KW - Klein-Gordon equation

KW - Small data solutions

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