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.
A blow-up result for a Nakao-type weakly coupled system with nonlinearities of derivative-type
Alessandro Palmieri
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2023-01-01
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.File in questo prodotto:
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Palmieri A., Takamura H. (2022 Math Ann) - A blow-up result for a Nakao-type weakly coupled system with nonlinearities of derivative-type.pdf
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