##  [Partial Differential Equations](/partial-differential-equations) 

  ##  [Partial Differential Equations](https://puremath.quantumdictionary.io/partial-differential-equations-0) 

  

 [![Pure Mathematics Dictionary](/sites/default/files/styles/large/public/2026-01/Pure%20Mathematics.png.webp?itok=5pZnFQ59)](/topic-specific-dictionaries/mathematics-logic/pure-mathematics)

- Mathematics & Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

The study of equations involving unknown functions of several variables and their partial derivatives, encompassing existence, uniqueness, stability, and regularity of solutions as well as qualitative behavior and methods of solution.