A blow-up result for a Nakao-type weakly coupled system with nonlinearities of derivative-type

A blow-up result for a Nakao-type weakly coupled system with nonlinearities of derivative-type

In this paper, we consider a weakly coupled system of a wave and damped Klein–Gordon equation with nonlinearities of derivative type. We prove a blow-up result for the Cauchy problem associated with this system for nonnegative and compactly supported data by means of an iteration argument.

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Veröffentlicht in:Mathematische annalen 2023-10, Vol.387 (1-2), p.111-132
Hauptverfasser: Palmieri, Alessandro, Takamura, Hiroyuki
Format: Artikel
Sprache:eng
Schlagworte:
Cauchy problems
Klein-Gordon equation
Mathematics
Mathematics and Statistics
Nonlinearity
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Beschreibung
Zusammenfassung:In this paper, we consider a weakly coupled system of a wave and damped Klein–Gordon equation with nonlinearities of derivative type. We prove a blow-up result for the Cauchy problem associated with this system for nonnegative and compactly supported data by means of an iteration argument.
ISSN:0025-5831
1432-1807
DOI:10.1007/s00208-022-02456-y