Global Existence and Blowup for the Cubic Nonlinear Klein-Gordon Equations in Three Space Dimensions
Abstract: In this paper, we apply a cross-constrained variational method to study the classic nonlinear Klein-Gordon equation with cubic nonlinearity in three space dimensions. By constructing a type of cross-constrained variational problem and establishing the so-called cross invariant manifolds, we obtain a sharp threshold for blowup and global existence of the solution to the equation under study which is different from that in [10]. On the other hand, we give an answer to the question that how small the initial data have to be for the global solutions to exist.
- Location
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Deutsche Nationalbibliothek Frankfurt am Main
- Extent
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Online-Ressource
- Language
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Englisch
- Bibliographic citation
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Global Existence and Blowup for the Cubic Nonlinear Klein-Gordon Equations in Three Space Dimensions ; volume:10 ; number:2 ; year:2010 ; pages:315-329 ; extent:15
Advanced nonlinear studies ; 10, Heft 2 (2010), 315-329 (gesamt 15)
- Creator
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Zhang, Jian
Gan, Zaihui
Guo, Boling
- DOI
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10.1515/ans-2010-0205
- URN
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urn:nbn:de:101:1-2405021713368.057876922642
- Rights
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
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14.08.2025, 10:55 AM CEST
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Associated
- Zhang, Jian
- Gan, Zaihui
- Guo, Boling
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