H1 space (source code)

= H1 space
{c}
{title2=$H^1(U)=W^{1,2}(U)$}

The H1 space is the <first-order Sobolev space> whose elements and first <weak derivatives> belong to <L2 space>. It is a <Hilbert space> with inner product given by the sum of the <L2 inner products> of the functions and of their first <weak derivatives>.