Non-Explosion of Solutions to Stochastic Reaction-Diffusion Equations
Marco Dozzi, Bohdan Maslowski · ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik · 2002
Nonexplosion of solutions to semilinear stochastic parabolic equations with non-Lipschitz drift and diffusion terms is proved by means of an infinite-dimensional version of Khasminskii test. The results are applied to stochastic reaction-diffusion equations with polynomial coefficients.