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20172021
most citedHeat Equation With a Geometric Rough Path Potential in One Space Dimension: Existence and Regularity of Solution

3 citations · 4 across the 9 of their papers we have counts for

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Showing 2018 · math.APShow all

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math.AP2018

An Asymptotic Comparison of Two Time-homogeneous PAM Models

Hyun-Jung Kim, Sergey V. Lototsky

Both Wick-Ito-Skorokhod and Stratonovich interpretations of the parabolic Anderson model (PAM) lead to solutions that are real analytic as functions of the noise intensity e, and,…

math.AP2018

Stochastic parabolic Anderson model with time-homogeneous generalized potential: Mild formulation of solution

Hyun-Jung Kim

A mild formulation for stochastic parabolic Anderson model with time-homogeneous Gaussian potential suggests a way of defining a solution to obtain its optimal regularity. Two diff…