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math.PR2021★ 1 cited
Dissipation in Parabolic SPDEs II: Oscillation and decay of the solution
Davar Khoshnevisan, Kunwoo Kim, Carl Mueller
We consider a stochastic heat equation of the type, on with periodic boundary conditions and on-degenerat…
math.PR2021
Small ball probability estimates for the Hölder semi-norm of the stochastic heat equation
Mohammud Foondun, Mathew Joseph, Kunwoo Kim
We consider the stochastic heat equation on with periodic boundary conditions and driven by space-time white noise. Under various natural conditions, we study small ball…