No Time Term in Elliptic PDEs? Confirm Here!

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charlies1902
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When looking at Elliptic PDEs that describe a physical system, do these typically not involve a time term?
I have yet to see an elliptic PDE involving a time term, which seem to be associated with parabolic/hyperbolic PDEs rather than elliptic.

Can anyone confirm?
 
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Typically elliptic PDE's are static equations that do not involve a time term. Examples are Laplace's equation or Poisson's equation.