In this article, we study the stochastic wave equation on entire space $\mathbb{R}^d$, driven by a space-time L\'evy white noise with possibly infinite variance (such as $\alpha$-stable noise). equation, is multiplied Lipschitz function $\sigma(u)$ of solution. We assume that spatial dimension $d=1$ or $d=2$. Under general conditions measure noise, prove existence solution, and show that, funct...