Abstract
This is a brief historical overview of the Sobolev mixed norm theory of linear elliptic and parabolic equations and the recent development in this theory based on the Rubio de Francia extrapolation theorem. A self-contained proof of this theorem along with other relevant tools of Real Analysis are also presented as well as an application to mixed norm estimates for fully nonlinear equations.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 389-413 |
| Number of pages | 25 |
| Journal | St. Petersburg Mathematical Journal |
| Volume | 32 |
| Issue number | 3 |
| DOIs | |
| State | Published - 2021 |
Bibliographical note
Publisher Copyright:© 2021 American Mathematical Society. All Rights Reserved.
Keywords
- Rubio de Francia extrapolation theorem
- mixed norm estimates