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Blow-up of weak solutions for the semilinear wave equations with nonlinear boundary and interior sources and damping

Blow-up of weak solutions for the semilinear wave equations with nonlinear boundary and interior sources and damping

We focus on the blow-up in finite time of weak solutions to the wave equation with interior and boundary nonlinear sources and dissipations. Our central interest is the relationship of the sources and damping terms to the behavior of solutions. We prove t