Lifespan of semilinear wave equation with scale invariant dissipation and mass and sub-Strauss power nonlinearity
arXiv:1805.06769 · doi:10.1016/j.jmaa.2018.10.015
Abstract
In this paper, we study the blow-up of solutions for semilinear wave equations with scale-invariant dissipation and mass in the case in which the model is somehow 'wave-like'. A Strauss type critical exponent is determined as the upper bound for the exponent in the nonlinearity in the main theorems. Two blow-up results are obtained for the sub-critical case and for the critical case, respectively. In both cases, an upper bound lifespan estimate is given.
23 pages