The higher order chain rule in Sobolev spaces
Fuente:
arXiv
Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2024
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866912004252368896 |
|---|---|
| author | Bourdaud, Gérard |
| author_facet | Bourdaud, Gérard |
| contents | We establish the Faà di Bruno formula, in the sense of almost everywhere equality, for derivatives of the composed function $f \circ g$, for all function $f : R \rightarrow R$ such that $f$ acts on $W^m_p(R^n)$ by composition, and all $g \in W^m_p(R^n)$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_16987 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The higher order chain rule in Sobolev spaces Bourdaud, Gérard Functional Analysis We establish the Faà di Bruno formula, in the sense of almost everywhere equality, for derivatives of the composed function $f \circ g$, for all function $f : R \rightarrow R$ such that $f$ acts on $W^m_p(R^n)$ by composition, and all $g \in W^m_p(R^n)$. |
| title | The higher order chain rule in Sobolev spaces |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2401.16987 |