On the decay and global nonexistence of solutions to a damped wave equation with variable-exponent nonlinearity and delay
Volume 122 / 2019
Annales Polonici Mathematici 122 (2019), 49-70
MSC: 35B35, 35B40, 35L05, 74H35.
DOI: 10.4064/ap180524-31-10
Published online: 21 March 2019
Abstract
In this work, we are concerned with a delayed nonlinear wave equation with variable exponents. In the absence of the source term, we prove a decay result, while in the presence of the source term, we prove a global nonexistence result. In addition, in the latter case, the life span time is estimated.
