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- W2963660168 abstract "In this project, we investigate the stochastic Burgers' equation with multiplicative space-time white noise on an unbounded spatial domain. We give a random field solution to this equation by defining a process via a kind of Feynman–Kac representation which solves a stochastic partial differential equation such that its Hopf–Cole transformation solves Burgers' equation. Finally, we obtain Hölder regularity and moment estimates for the solution to Burgers' equation." @default.
- W2963660168 created "2019-07-30" @default.
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- W2963660168 date "2018-06-10" @default.
- W2963660168 modified "2023-09-25" @default.
- W2963660168 title "Stochastic Burgers' equation on the real line: regularity and moment estimates" @default.
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- W2963660168 doi "https://doi.org/10.1080/17442508.2018.1478834" @default.
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