Solutions’ Existence for A Hyperbolic Nonlinear Wave Equation of Kirchhoff Type in Unbounded Domains and Estimation of The Upper Bound for The Blow-Up Time of The Solutions
Our aim in this work is to study the existence of global solutions and blow-up phenomena in finite time of the following quasilinear dissipative Kirchhoff’s string problem: with initial conditions and where the resistance modules and the external force. A combination of the Faedo-Galerkin approximation and the Bana...