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

Masato Hoshino; Ryoji Takano

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arXiv · 2408.04322

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

Masato Hoshino·Ryoji Takano

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Abstract

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.

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Masato Hoshino, Ryoji Takano. 2024-08-08. A semigroup approach to the reconstruction theorem and the multilevel Schauder estimate for singular modelled distributions. https://arxiv.org/abs/2408.04322

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