On the explicit representation of the trace space $H^{\frac{3}{2}}$ and of the solutions to biharmonic Dirichlet problems on Lipschitz domains via multi-parameter Steklov problems

Pier Domenico Lamberti, Luigi Provenzano

We consider the problem of describing the traces of functions in $H^2(\Omega )$ on the boundary of a Lipschitz domain $\Omega$ of ${\mathbb{R}}^N$, $N\ge 2$. We provide a definition of those sp…