Juan J. Jiménez

Stochastic heat equations with non-Lipschitz coefficients driven by symmetric $\alpha$-stable L\'evy white noise

We study the stochastic heat equation on a bounded interval with zero Dirichlet boundary conditions, driven by symmetric $\alpha$-stable space--time L\'evy white noise, where $1<\alpha<2$. Both the drift and noise coefficients are continuous and have at most linear growth. For bounded deterministic initial data and eve...