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- W3201289227 abstract "We study the global existence of the singular nonlinear parabolic Anderson model equation on $2$-dimensional tours $mathbb{T}^2$. The method is based on paracontrolled distribution and renormalization. After split the original nonlinear parabolic Anderson model equation into two simple equations, we prove the global well-posedness by some a priori estimates and smooth approximations. Furthermore, we prove the uniqueness of the solution by using classical energy estimates." @default.
- W3201289227 created "2021-09-27" @default.
- W3201289227 creator A5026984704 @default.
- W3201289227 date "2021-09-21" @default.
- W3201289227 modified "2023-09-23" @default.
- W3201289227 title "Global well-posedness for the nonlinear generalized parabolic Anderson model equation" @default.
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- W3201289227 doi "https://doi.org/10.48550/arxiv.2109.10423" @default.
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