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- W4308991650 abstract "We show that every ℝ d -valued Sobolev path with regularity a and integrability p can be lifted to a Sobolev rough path provided 1/2 > α > 1/ p > ⋁ 1/3. The novelty of our approach is its use of ideas underlying Hairer’s reconstruction theorem generalized to a framework allowing for Sobolev models and Sobolev modelled distributions. Moreover, we show that the corresponding lifting map is locally Lipschitz continuous with respect to the inhomogeneous Sobolev metric." @default.
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- W4308991650 date "2023-01-01" @default.
- W4308991650 modified "2023-10-18" @default.
- W4308991650 title "A Sobolev rough path extension theorem <i>via</i> regularity structures" @default.
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- W4308991650 doi "https://doi.org/10.1051/ps/2022016" @default.
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