Special Session 173: Mathematical and Numerical Analysis on Nonlinear PDEs

Blow-up results for Nakao-type problems with time-dependent coefficients
Alessandro Palmieri
University of Bari
Italy
Co-Author(s):    Yuequn Li
Abstract:
In this talk, I will discuss some blow-up results for a Nakao-type semilinear weakly coupled system. In particular, we consider the case when a wave equation is coupled with a damped wave equation with a time-dependent coefficient for the damping term. We investigate the influence of a scattering producing/scale-invariant damping term on the blow-up region for power nonlinearities and for derivative-type nonlinear terms.