Projection in negative norms and the regularization of rough linear functionals

Felipe Millar, Ignacio Muga, Sergio Rojas +1

In order to construct regularizations of continuous linear functionals acting on Sobolev spaces such as $W_0^{1,q}(\Omega )$, where $1<q<\infty$ and $\Omega$ is a Lipschitz domain, we propose…