On the critical exponent and sharp lifespan estimates for semilinear damped wave equations with data from Sobolev spaces of negative order

Wenhui Chen, Michael Reissig

We study semilinear damped wave equations with power nonlinearity $|u{|}^p$ and initial data belonging to Sobolev spaces of negative order ${\dot{H}}^{-\gamma }$. In the present paper, we ob…