##  [Nonextendability of Solutions](/nonextendability-solutions) 

  ##  [Nonextendability of Solutions](https://puremath.quantumdictionary.io/nonextendability-solutions-0) 

  

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- Mathematics & Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

The inability to extend a solution of a PDE defined in a domain to a larger set (typically across part of the boundary) in the same continuity or regularity class; this may be caused by boundary singularities, lack of trace regularity, capacity obstructions, or fundamental incompatibilities with analytic continuation.