 ##  [Boundary Value Nonuniqueness](/boundary-value-nonuniqueness) 

  ##  [Boundary Value Nonuniqueness](https://puremath.quantumdictionary.io/boundary-value-nonuniqueness-0) 

  

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- Mathematics &amp; Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

The situation in which a boundary value problem admits two or more distinct solutions that satisfy the same prescribed boundary data, typically arising from a nontrivial kernel of the governing operator, lack of coercivity, resonance at boundary eigenvalues, or pathological geometric or functional settings.