Blow-up for semilinear wave equations with damping and potential in high dimensional Schwarzschild spacetime (2308.01691v1)

Abstract: In this work, we study the blow up results to power-type semilinear wave equation in the high dimensional Schwarzschild spacetime, with damping and potential terms. We can obtain the upper bound estimates of lifespan without the assumption that the support of the initial date should be far away from the black hole.