 ##  [Jump Discontinuity at the Boundary](/jump-discontinuity-boundary) 

  ##  [Jump Discontinuity at the Boundary](https://puremath.quantumdictionary.io/jump-discontinuity-boundary-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 &amp; Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A discontinuity in the limiting boundary values of a function observed when approaching a boundary point from different sides or approach regions, producing distinct one-sided or sectorial limits; commonly appears where interface conditions, coefficients, or boundary data are incompatible.