Global well-posedness of solutions for 2-D Klein–Gordon equations with exponential nonlinearity

Global well-posedness of solutions for 2-D Klein–Gordon equations with exponential nonlinearity

This paper considers the global well-posedness of two-dimensional Klein–Gordon equations with exponential nonlinearity. By employing the potential well method, we conduct a comprehensive study on the global existence and finite time blowup of solutions by the requirement of the initial energy at thr...

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Veröffentlicht in:Journal of mathematical physics 2024-02, Vol.65 (2)
Hauptverfasser: Lin, Qiang, Pang, Yue, Wang, Xingchang, Xu, Zhengsheng
Format: Artikel
Sprache:eng
Schlagworte:
Energy levels
Mathematical analysis
Nonlinearity
Well posed problems
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Zusammenfassung:This paper considers the global well-posedness of two-dimensional Klein–Gordon equations with exponential nonlinearity. By employing the potential well method, we conduct a comprehensive study on the global existence and finite time blowup of solutions by the requirement of the initial energy at three different initial energy levels.
ISSN:0022-2488
1089-7658
DOI:10.1063/5.0183034