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arXiv · 2201.09462

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

Alessandro Palmieri·Hiroyuki Takamura
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Abstract

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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Alessandro Palmieri, Hiroyuki Takamura. 2022-01-24. A blow-up result for a Nakao-type weakly coupled system with nonlinearities of derivative-type. https://doi.org/10.1007/s00208-022-02456-y

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