Unstable Ground State and Blow Up Result of Nonlocal Klein–Gordon Equations

In this paper we study the behaviour of solutions for a nonlocal hyperbolic equation. We use the Pohozaev manifold combined with a new technique to explicit two invariant regions in the space of initial data. On the first one the solution blows up (in finite or infinite time) and in the second one t...

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Veröffentlicht in:	Journal of dynamics and differential equations 2023-09, Vol.35 (3), p.1917-1945
Hauptverfasser:	Carrião, Paulo Cesar, Lehrer, Raquel, Vicente, André
Format:	Artikel
Sprache:	eng
Schlagworte:	Applications of Mathematics Ground state Mathematics Mathematics and Statistics Ordinary Differential Equations Partial Differential Equations
Online-Zugang:	Volltext
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