# Definition:Differential Equation/Distributional

Jump to navigation
Jump to search

## Definition

A **differential equation** is classified as **distributional** if, in addition to ordinary and partial derivatives and functions, they also involve at least one of the following notions:

- Distributional ordinary derivative
- Distributional partial derivative
- Distribution and/or its derivatives

Note that every standard differential equation can be written as a distributional one, but not the other way around.

This article needs to be linked to other articles.In particular: Supply the note with a link to the proof once all necessary pieces are at handYou can help $\mathsf{Pr} \infty \mathsf{fWiki}$ by adding these links.To discuss this page in more detail, feel free to use the talk page.When this work has been completed, you may remove this instance of `{{MissingLinks}}` from the code. |

## Sources

- 2017: Amol Sasane:
*A Friendly Approach to Functional Analysis*... (next): Chapter $\S 6.3$: Weak solutions