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Nash–Moser theorem
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<p>In the mathematical field of <a href="/facts/Mathematical_analysis/XXeR26Ih">analysis</a>, the Nash–Moser theorem, discovered by <a href="/facts/Mathematician/eaFSR8Fx">mathematician</a> <a href="/facts/John_Forbes_Nash/wAg6sMSY">John Forbes Nash</a> and named for him and <a href="/facts/J%C3%BCrgen_Moser/lFNn2tBb">Jürgen Moser</a>, is a generalization of the <a href="/facts/Inverse_function_theorem/pIwcyc6X">inverse function theorem</a> on <a href="/facts/Banach_space/sDEIk7EC">Banach spaces</a> to settings when the required solution mapping for the linearized problem is not bounded. </p>