Hairer’s multilevel Schauder estimates without regularity structures - Archive ouverte HAL
Article Dans Une Revue Transactions of the American Mathematical Society Année : 2024

Hairer’s multilevel Schauder estimates without regularity structures

Résumé

We investigate the regularising properties of singular kernels at the level of germs, i.e. families of distributions indexed by points in R d \mathbb {R}^d . First we construct a suitable integration map which acts on general coherent germs. Then we focus on germs that can be decomposed along a basis (corresponding to the so-called modelled distributions in Regularity Structures) and we prove a version of Hairer’s multilevel Schauder estimates in this setting, with minimal assumptions.

Dates et versions

hal-04737184 , version 1 (15-10-2024)

Identifiants

Citer

Lucas Broux, Francesco Caravenna, Lorenzo Zambotti. Hairer’s multilevel Schauder estimates without regularity structures. Transactions of the American Mathematical Society, 2024, ⟨10.1090/tran/9245⟩. ⟨hal-04737184⟩
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