The Probability of Events for Parabolic Equations
AbstractIn this short paper, we focus on the blowup phenomenon of stochastic
parabolic equations. We first discuss the probability of the event that
the solutions keep positive. Then, the blowup phenomenon in the whole
space is considered. The probability of the event that the solutions
blow up in finite time is given. Lastly, we obtain the probability of
the event that blowup time of stochastic parabolic equations larger than
or less than the deterministic case.