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- W4386755280 abstract "In this paper, we study a semilinear SPDE with a linear Young drift $du_{t}=Lu_{t}dt+fleft(t, u_{t}right)dt+left(G_{t}u_{t}+g_{t}right)deta_{t}+hleft(t, u_{t}right)dW_{t}$, where $L$ is the generator of an analytical semigroup, $eta$ is an $alpha$-Holder continuous path with $alpha in left(1/2, 1right)$ and $W$ is a Brownian motion. After establishing through two different approaches the Young convolution integrals for stochastic integrands, we introduce the corresponding definition of mild solutions and continuous mild solutions, and give via a fixed-point argument the existence and uniqueness of the (continuous) mild solution under suitable conditions." @default.
- W4386755280 created "2023-09-15" @default.
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- W4386755280 date "2023-09-13" @default.
- W4386755280 modified "2023-09-30" @default.
- W4386755280 title "Mild Solution of Semilinear SPDEs with Young Drifts" @default.
- W4386755280 doi "https://doi.org/10.48550/arxiv.2309.06791" @default.
- W4386755280 hasPublicationYear "2023" @default.
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