 ##  [Energy Estimate](/index.php/energy-estimate) 

  ##  [Energy Estimate](https://mathlogic.quantumdictionary.io/energy-estimate-0) 

  
 [![Mathematics & Logic Dictionary](/sites/default/files/styles/large/public/2026-01/Mathematics%20%26%20Logic.png.webp?itok=UhtTRPnp)](/index.php/topic-specific-dictionaries/natural-formal-sciences/mathematics-logic)

- Natural &amp; Formal Sciences -

**Mathematics &amp; Logic Dictionary**

 
Definition

An inequality that bounds an energy-like norm or functional of a solution (often an L2 or Sobolev norm) over time or space, used to control growth, dissipation, or regularity of solutions and to derive a priori estimates.