On global instability of solutions to hyperbolic equations with non-Lipschitz nonlinearity
On global instability of solutions to hyperbolic equations with non-Lipschitz nonlinearity
In a bounded domain Ω ⊂ R , we consider the following hyperbolic equationWe assume that 1 < < < +∞; this implies that the nonlinearity in the right hand side of the equation is of a non-Lipschitz type.As a rule, this type of nonlinearity prevent us from applying standard …