A semigroup approach to the reconstruction theorem and the multilevel Schauder estimate for singular modelled distributions
Probability
2025-03-11 v3 Analysis of PDEs
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.
Keywords
Cite
@article{arxiv.2408.04322,
title = {A semigroup approach to the reconstruction theorem and the multilevel Schauder estimate for singular modelled distributions},
author = {Masato Hoshino and Ryoji Takano},
journal= {arXiv preprint arXiv:2408.04322},
year = {2025}
}
Comments
39 pages