Lyapunov exponents and growth indices for fractional stochastic heat equations with space-time Lévy white noise

Yuichi Shiozawa, Jian Wang

We consider fractional stochastic heat equations with space-time Lévy white noise of the form $$\frac{\partial X}{\partial t}(t,x)={\mathcal{L}}_{\alpha }X(t,x)+\sigma (X(t,x))\dot{\Lambda }(t,x).$$ Here, the…