##  [Loss of Hyperbolicity](/loss-hyperbolicity) 

  ##  [Loss of Hyperbolicity](https://mathlogic.quantumdictionary.io/loss-hyperbolicity-0) 

  

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- Natural & Formal Sciences -

**Mathematics & Logic Dictionary**

 







 

 

 

 



 

 

 

 

Definition

The failure, at a point or for specific parameter values, of a partial differential operator to satisfy the algebraic and sign conditions on its principal symbol that define hyperbolic operators, causing characteristic speeds, domains of dependence, and well-posedness to change or break down.