A semigroup approach to the reconstruction theorem and the multilevel Schauder estimate for singular modelled distributions

Fuente: arXiv
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Autori principali: Hoshino, Masato, Takano, Ryoji
Natura: Preprint
Pubblicazione: 2024
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author Hoshino, Masato
Takano, Ryoji
author_facet Hoshino, Masato
Takano, Ryoji
contents We extend the semigroup approach used in [23,21] to provide alternative proofs of the reconstruction theorem and the multilevel Schauder estimate for singular modelled distributions. As an application of them, we construct the local-in-time solution of the two dimensional parabolic Anderson model with a non-translation invariant differential operator.
format Preprint
id arxiv_https___arxiv_org_abs_2408_04322
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle A semigroup approach to the reconstruction theorem and the multilevel Schauder estimate for singular modelled distributions
Hoshino, Masato
Takano, Ryoji
Probability
Analysis of PDEs
We extend the semigroup approach used in [23,21] to provide alternative proofs of the reconstruction theorem and the multilevel Schauder estimate for singular modelled distributions. As an application of them, we construct the local-in-time solution of the two dimensional parabolic Anderson model with a non-translation invariant differential operator.
title A semigroup approach to the reconstruction theorem and the multilevel Schauder estimate for singular modelled distributions
topic Probability
Analysis of PDEs
url https://arxiv.org/abs/2408.04322