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Blow‐up and lifespan estimates for Nakao's type problem with nonlinearities of derivative type

Blow‐up and lifespan estimates for Nakao's type problem with nonlinearities of derivative type

In the present paper, we investigate blow-up and lifespan estimates for a class of semilinear hyperbolic coupled system in $\mathbb{R}^n$ with $n\geqslant 1$, which is part of the so-called Nakao's type problem weakly coupled a semilinear damped wave equation with a semilinear wave equation with nonlinearities of derivative type. By …