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Time-Homogeneous Parabolic Wick-Anderson Model in One Space Dimension: Regularity of Solution by Kim, Hyun-Jung; Lototsky, Sergey V is a scholarly article available to read on EtoBox.

What is Time-Homogeneous Parabolic Wick-Anderson Model in One Space Dimension: Regularity of Solution about?

Even though the heat equation with random potential is a well-studied object, the particular case of time-independent Gaussian white noise in one space dimension has yet to receive the attention it deserves. The paper investigates the stochastic heat equation with space-only Gaussian white noise on a bounded interval. The main result is that the space-time regularity of the solution is the same for additive noise and for multiplicative noise in the Wick-It\^o-Skorokhod interpretation.

Author

Kim, Hyun-Jung; Lototsky, Sergey V

Published

2017

Language

EN