##  [Breakdown of Elliptic Regularity](/breakdown-elliptic-regularity) 

  ##  [Breakdown of Elliptic Regularity](https://puremath.quantumdictionary.io/breakdown-elliptic-regularity-0) 

  

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**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

The phenomenon in which the usual interior-to-boundary elliptic regularity estimates for solutions of elliptic partial differential equations fail, so that solutions exhibit lower differentiability or Hölder/ Sobolev regularity near parts of the boundary or across singular boundary features.