 ##  [Edge Singularity](/edge-singularity) 

  ##  [Edge Singularity](https://mathlogic.quantumdictionary.io/edge-singularity-0) 

  
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- Natural &amp; Formal Sciences -

**Mathematics &amp; Logic Dictionary**

 
Definition

A singular behavior concentrated along an edge or codimension-one manifold in a domain where solutions or geometric quantities exhibit reduced regularity compared with the interior; near the edge the solution may have explicit leading singular terms with non-integer power laws or logarithmic factors.

 
 ##  [Edge Singularity](https://puremath.quantumdictionary.io/edge-singularity-1) 

  
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- Mathematics &amp; Logic -

**Pure Mathematics Dictionary**

 
Definition

A localized breakdown of regularity of solutions to partial differential equations that is concentrated along an edge (a one-dimensional boundary locus) where standard elliptic or parabolic estimates fail and solution asymptotics develop non-smooth angular dependence.