##  [Trace Operator Failure](/trace-operator-failure) 

  ##  [Trace Operator Failure](https://puremath.quantumdictionary.io/trace-operator-failure-0) 

  

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- Mathematics & Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

The situation in which the trace map, the linear operator sending a function (or equivalence class) defined on a domain to its boundary values, is not well-defined, unbounded, or not surjective between the expected function spaces due to irregular boundary geometry, lack of integrability, or insufficient regularity.