Marcelo M. Cavalcanti

Finite time blow-up and global solutions for the viscoelastic wave equation with combined power-type nonlinearities

The main objective of this paper is to investigate the global existence and nonexistence of solutions to the viscoelastic wave equation with a linear memory term of Boltzmann type, a nonlinear friction damping and a supercritical source term which is a combination of power-type n...

Exact Boundary Controllability for Wave Equations With Space Variable Potential

ABSTRACT In this article, we study an exact boundary controllability problem for a wave equation with a potential that varies in the space on non‐smooth domains of , . The potential considered is a positive space variable function which has the short‐range property, that is when...