2. Space jump formula

Recall that for a function $C^{1}$ by pieces, we have demonstrated (see [AF 144 § 5.1] ) the derivation formula in the sense of distributions, called the jump formula :

if we denote s _i for i = 1, ..., n the jumps of f at points a ₁ , a ₂ , ..., a _n , we have : ${[f]}^{'} = [f^{'}] +$

You do not have access to this resource.

Exclusive to subscribers. 97% yet to be discovered!

You do not have access to this resource. Click here to request your free trial access!

Already subscribed? Log in!

Ongoing reading
Space jump formula

Previous
page Three types of application

Sobolev spaces

Article included in this offer

"Mathematics"

( 165 articles )

Complete knowledge base

Updated and enriched with articles validated by our scientific committees

Services

A set of exclusive tools to complement the resources

View offer details

References

(1) - BONY (J.M.) - Cours d'analyse. Théorie des distributions et analyse de Fourier - . Édition de l'École polytechnique – Paris (2001).
(2) - BREZIS (H.) - Analyse fonctionnelle. Théorie et applications - . Dunod – Paris (1983).
...

You do not have access to this resource.

Exclusive to subscribers. 97% yet to be discovered!

You do not have access to this resource. Click here to request your free trial access!

Already subscribed? Log in!