Source: wikibot/friedrichs-s-inequality

= Friedrichs's inequality
{wiki=Friedrichs's_inequality}

Friedrichs's inequality is a fundamental result in the field of functional analysis and partial differential equations. It provides a way to control the norm of a function in a Sobolev space by the norm of its gradient. Specifically, it is often used in the context of Sobolev spaces \\( W^\{1,p\} \\) and \\( L^p \\) spaces.