Blow-up results for a Boussinesq-type plate equation with a logarithmic damping term and variable-exponent nonlinearities
Volume 50 / 2023
Applicationes Mathematicae 50 (2023), 81-96
MSC: Primary 35B44; Secondary 35G20.
DOI: 10.4064/am2470-6-2023
Published online: 18 September 2023
Abstract
We consider the initial boundary value problem for a Boussinesq-type equation with a logarithmic damping term and variable-exponent nonlinearities, which was introduced to describe some physical phenomena such as propagation of small amplitude and long waves on the surface of shallow water. The blow-up of solutions is proved for positive as well as negative initial energy.
