@techreport{4bf3959083fb4b4b8e6065468d460189,
title = "Small ball probability estimates for the H{\"o}lder semi-norm of the stochastic heat equation",
abstract = "We consider the stochastic heat equation on [0, 1] with periodic boundary conditions and driven by space-time white noise. Under various natural conditions, we study small ball probabilities for the H{\"o}lder semi-norms of the solutions, and provide near optimal bounds on these probabilities. As an application, we prove a support theorem in these H{\"o}lder semi-norms. ",
keywords = "heat equation, white noise, stochastic partial differential equations, small ball",
author = "Mohammud Foondun and Mathew Joseph and Kunwoo Kim",
year = "2021",
month = aug,
day = "2",
language = "Undefined/Unknown",
type = "WorkingPaper",
}